PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!

Solve for x over the complex numbers.

x^2 + 8x + 20 = 0

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!Solve For X Over The Complex Numbers.x^2 + 8x + 20 =

Answers

Answer 1
[tex]given \: equation: {x}^{2} + 8x + 20= 0 \\ \\ x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac} }{2a} \\ \\ x = \frac{ -8 \pm \sqrt{ {8}^{2} - 4 \times 1 \times 20} }{2 \times 1} \\ \\ x = \frac{-8 \pm \sqrt{64-80} }{2} \\ \\ x = \frac{-8 \pm \sqrt{-16} }{2} \\ \\ x = \frac{-8 \pm 4i }{2} \\ \\x = \frac{-8 + 4i }{2} \: \: and \: \: \frac{-8 - 4i }{2}\\ \\ \boxed{x = -4+2i \ \ and\ \ -4-2i}[/tex]

Related Questions

Given: `Delta`ABC
Prove: The sum of the interior angle measures of `Delta`ABC is 180°.
What is the missing step in this proof?

Answers

Answer: Statement: `/_1 ~= /_4`, and `/_3 ~= /_5`.

Reason: Alternate Interior Angles Theorem

I just did the test and got 100%

Answer:

Statement 3:[tex]m\angle 1\cong m\angle 4 and m\angle3\cong m\angle 5[/tex].

Reason:Alternate Interior  Angles Theorem

Step-by-step explanation:

We are given that  a triangle ABC.

We have a proof  that the sum of interior angle measures pf triangle ABC is [tex]180^{\circ}[/tex].

We have to find the missing steps in the given proof.

Statement 1 :Let  points A,B and C  form a triangle.

Reason: Given

Statement 2:[tex]$\overleftrightarrow{DE}$[/tex] is a line passing through B and parallel to [tex]\overline{AC}[/tex] with angles as labeled.

Reason: Definition a parallel line and labeling angles.

Statement 3:[tex]m\angle 1\cong m\angle 4 and m\angle3\cong m\angle 5[/tex].

Reason:Alternate Interior  Angles Theorem

Statement 4:[tex]m\angle 1=m\angle 4 and m\angle 3=m\angle 5[/tex]

Reason: Congruent angles have same measures

Statement 5 [tex] m\angle 2+m\angle 4+m\angle =180^{\circ}[/tex]

Reason: Angle addition and definition of a straight angle

Statement 6: [ytex]m\angle 1+m\angle 2+m\angle 3=180^{\circ}[/tex]

Reason : By substitution

Hence proved.

Chris wants to tip 15 percent to the waiter at a restaurant. If his meal is $19.50, how much should he tip the waiter?

Answers

15% is written as 0.15 in decimal format.

Multiply the cost of the meal by 0.15.


19.50 x 0.15 = 2.925, which would round to $2.93


The tip is $2.93

To calculate a 15% tip for a $19.50 meal, convert 15% to decimal form (0.15), multiply by the cost of the meal ($19.50), and round to the nearest cent, resulting in a $2.93 tip.

Chris wishes to tip 15 percent to the waiter for his meal which costs $19.50. To calculate the amount of the tip, we need to convert the percentage to a decimal and then multiply it by the cost of the meal. Here's how you can do it:

Convert the tip percentage to a decimal: 15% ightarrow 0.15.

Multiply the decimal by the total cost of the meal: $19.50 imes 0.15.

The calculation gives us the tip amount: $2.925.

Since it's difficult to leave a fraction of a cent as a tip, we would round this to the nearest cent, giving us $2.93.

Therefore, Chris should tip $2.93 to the waiter.

Triple a number b is greater than or equal to 21

Answers

Triple a number b is equal to 21 .

Write the equation of the line that contains the given point and has the given slope. (–1, 1), slope = –2

Answers

We can write the equation in point-form in this case. The equation should be:

y-y1 = m(x-x1)

y and x can be any point in the line, so we leave them just like that in the equation, we don’t have to add any numbers to them. m is the slope of the line, and (x1, y1) is the given point in the line, which is (-1, 1) in this case.

Now, just substitute the number in,

y - 1 = -2 [x - (-1)]
y - 1 = -2 (x+1)
y - 1 = -2x - 2
2x + y + 1 = 0

So, 2x + y + 1 = 0 is your answer.


Final answer:

The equation of the line that passes through the point (–1, 1) and has a slope of –2 is y = -2x - 1.

Explanation:

The question is asking for the equation of the line that passes through the point (–1, 1) and has a slope of –2. The formula for a line is y = mx + b, where m is the slope and b is the y-intercept. Since we know the slope (m) is -2, and we have the coordinates of a point on the line (-1,1), we can substitute these values into the formula to solve for 'b', the y-intercept.

So, 1 = -2*(-1) + b, which simplifies to 1 = 2 + b. Solving this for b gives us a y-intercept (b) of -1.

Therefore, the equation of the line that contains the given point and has the given slope is y = -2x - 1.

Learn more about Equation of a Line here:

https://brainly.com/question/21511618

#SPJ3

BRAINLIEST!!PLEASE HELP
Which of the points satisfy the linear inequality graphed here?
A) (0, 0)
B) (10, 0)
C) (-10, 0)
D) (10, 10)

Answers

C . Find a point that lies in the shaded region, or plug the points in and determine which point makes the inequality true.


Which equation has the following characteristics?
y varies directly with x
y=30 when x =3

A. y=27+x
B. y=10x
C. y=33-x
D. 30x

I think it's B

Answers

Answer is B. Have a nice day.

Points c, a and b are collinear. Which of the following are opposite rays

Answers

Answer:

Ac and ad

Step-by-step explanation:

The following are opposite rays; AC and AD. so option B is correct answer.

What do you mean by collinear?

For points to be collinear means they lie on the same line. A rays to be opposite, they should be in the same line making a 180° or a straight line with each other.

A Coplanar means the points lie in the same plane. For these rays to be opposite and collinear the points should lie in the same plane.

Given; Points c, a and b are collinear.

A, B, C are coplanar and also A, B, C are collinear.

The following are opposite rays; AC and AD. so option B is correct answer.

Learn more about the concept;

https://brainly.com/question/1687346

#SPJ5

You have two credit cards. One has a balance of $3,745.00 at a 6.25% apr and the other has a balance of $1,045.00 and is dependent upon your credit score. Your score is 500. How much total interest is accrued in the first month? Score <500 500-650 651-750 751-800 rate (apr) 12.75% 10.25% 7.5% 5.75% $28.44 $24.51 $30.41 $26.04

Answers

The total interest accrued on two credit cards in the first month is $28.44, with $19.51 coming from the first card with a balance of $3,745 at 6.25% APR and $8.93 from the second card with a balance of $1,045 at 10.25% APR based on a credit score of 500.

The question involves calculating the total interest accrued on two credit cards in the first month. The first credit card has a balance of $3,745.00 at an annual percentage rate (APR) of 6.25%, and the second credit card has a balance of $1,045.00 with an APR that depends on the credit score. Given a credit score of 500, the APR for the second card is 10.25% (per the provided table).

First, to find the monthly interest for each card, we can use the formula: Monthly Interest = (Balance) x (APR) / 12 months.

For the first card: Monthly Interest for $3,745.00 at 6.25% APR is ($3,745.00) x (0.0625) / 12 = $19.51.

For the second card: Monthly Interest for $1,045.00 at 10.25% APR is ($1,045.00) x (0.1025) / 12 = $8.93.

To find the total interest accrued from both credit cards in the first month, simply add the monthly interest amounts from each card: $19.51 + $8.93 = $28.44.

Stella is recording the temperature every day for five days on the first day it was 0 degrees and the second day was 3 degrees higher then the day before

Answers

First day temperature is 0 degree.

Second day temperature is 3 degree higher than first day's temperature.

In order to find the higher temperature we need to add increased temperature in previous day's temperature.

First day given temperature is 0 degree .

Three degree higher than 0 would be 0+3.

On adding 0 and 3 we would get 3.

Therefore, second day temperature would be 3 degrees.

complete the first 4 steps for graphing the quadratic function given. (Use ^ on the keyboard to indicate an exponent.)
y = -x2 - 4x - 3

Answers

There are multiple ways that you could graph this quadratic equation. I would start by finding the vertex. The x-value in the vertex is found with -b/2a. The take you value and input back into the equation to find the y-value of your vertex. Then, you could make a list of points on both sides of the vertex to create a table with which to create the parabola.


Answer:

Step-by-step explanation:

is equal 45

HELP. Will give brainliest. MORE THAN ONE ANSWER FOR EACH QUESTION.

Question 1.
Find the equation of the line with a slope of -3, passing through the point (2, 5).

a. y = -3x - 1
b. y = -3x + 11
c. y = -3x + 5
d. y = 2x + 5

MULTIPLE ANSWERS.

Question 2.
Find the equation of the line passing through the points (2, -1) and (-6, -5)

a. y = 2x - 5
b. y = -1/2 x
c. y = 1/2 x
d. y = 1/2 x - 2

MULTIPLE ANSWERS

Answers

One

Slope

The general slope intercept equation for a line is

y = mx + b

If you are told outright what the slope is then you can write m = slope in this case - 3

So you have so far is y = -3x + b. Now you use the point to get the y intercept.

(2,5) means that when x = 2, y = 5. that allows you to solve for b

Y intercept

When x = 2, y = 5. Substitute that into the general equation with the slope.

5 = -3x + b            Put 2 in for x

5 = -3 * 2 + b         Multiply -3 * 2

5 = - 6 + b             Add 6 to both sides

5 + 6 = b

11 = b

Answer

y = -3x + 11

Two

This question is a little harder. You have to find the slope.

Slope Formula

[tex]\text{m = } \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]

Givens

Points (2, -1), (-6, - 5)

y2 = -1 ; y1 = -5; x2 = 2;  x1 = -6

Solve

m = (-1 - - 5)/(2 - - 6) = (-1 + 5)(2 + 6) = 4/8 = 1/2

Now find the y intercept. Use either one of the given points

(2,-1) when x = 2, y = - 1

y = 1/2 x + b      Show what you have so far. Put in x = 2 for x and y = - 1 for y

-1 = 1/2(2) + b    Multiply 2*1/2

-1 = 1 + b            Subtract 1 from both sides.

-1 -1 = b

- 2 = b

Answer

y = (1/2)x - 2 which is D

What is the degree of the polynomial in the expression below?


x6 + 3 - 2x2 + 4x7 - 4x


A. 7

B. 6

C. 4

D. 5

Answers

Answer:

The degree of the polynomial in the expression below is:

A. 7

(hope this helps :3)



Answer: A.) 7

Step-by-step explanation: a p e x

What are the three forms of linear equations?

Answers

That would be point-slope form, standard form, and slope-intercept form.

The three forms of linear equations are the standard form (Ax + By = C), the slope-intercept form (y = mx + b), and the point-slope form (y - y1 = m(x - x1)).

The three forms of linear equations are:

The standard form, which appears as Ax + By = C, where A, B, and C are constants, and A and B are not both zero.

The slope-intercept form, given by y = mx + b, with m representing the slope and b representing the y-intercept.

The point-slope form, which is written as y - y1 = m(x - x1), where m is the slope and (x1, y1) is a known point on the line.

Each form is useful in different contexts: the standard form is often used when both x and y intercepts are integers; the slope-intercept form is useful for quickly identifying the slope and intercept; and the point-slope form is handy when a point on the line and the slope are known.

In July, 3/5 of the 160 babies born in an area hospital were girls. Seventy of the babies weighed 8 pounds or more. Fifty boys weighed 8 pounds or more. Which of the following tables shows relative frequency by row?

Answers

Imma guess the middle one

Answer:

B

Step-by-step explanation:

Jill just made a purchase online. The store that she bought from gave her the option to pay with a check, money order, or credit card. The item will not be shipped until her payment arrives. Why would Jill want to use a credit card instead of a money order or check?

Answers

The credit card is instant. She’d have to ship the money order and the check to the supplier.

If Jill pays with a credit card, her payment will be recorded immediately. This means that the item could be shipped almost as soon as she pays for it. On the other hand, if she uses a check or money order, then her payment will take a while to be received, as she would have to send the physical item over the mail. Therefore, she would receive her package earlier if she paid with a credit card.

What is the next number in the pattern of 12 24 72 288

Answers

The next number is 1440.

Here is the pattern:

12*2=24

24*3=72

72*4=288

So, you have to multiply 288 by 5, which will get you the answer 1440.

14|x| - 14 = 41
Algebra

Answers

14|x| - 14 = 41      |add 14 to both sides

14|x| = 55      |divide both sides by 14

|x| = 55/14 ↔ x = - 55/14 or x = 55/14

What is the length of DE?

Answers

Answer:

18

Step-by-step explanation:

a p e x

A recipe for 114 dozen cupcakes calls for 123 cups of flour, but rashida has only 1 cup of flour. How many cupcakes can she make?

Answers

Answer:

11 cupcakes

Step-by-step explanation:

Given that 114 dozen cupcakes can be prepared from 123 cups of flour.

i.e. if flour is 123 cups no of cupcakes that can be made = 114x 12 = 1368

For 1 cup how many cupcakes?

i.e. when cup reduces no of cupcakes also will decrease.

This relation is directly proportional.

Hence answer = 1x1368/123 =11.1219

Approximately 11 cupcakes Rashida can prepare


Final answer:

The question is about proportion. The recipe states that 1368 cupcakes require 123 cups of flour. Therefore, with 1 cup of flour, Rashida can make approximately 11 cupcakes.

Explanation:

The question is asking for the number of cupcakes that can be made with one cup of flour. This is a problem of ratios or proportions, a common subject in Mathematics. The recipe states that 114 dozen cupcakes (which is 1368 cupcakes) need 123 cups of flour, hence the ratio is 1368 cupcakes to 123 cups of flour.

To find out how many cupcakes we can make with 1 cup of flour, we set up a proportion: 1368/123 = x/1. Here, 'x' represents the number of cupcakes we can make with 1 cup of flour. Solving for 'x' gives us the number of cupcakes we can make. By doing this, we get 'x' = 11.12, but since we can't have a fraction of a cupcake, Rashida can make approximately 11 cupcakes with 1 cup of flour.

Learn more about Proportion here:

https://brainly.com/question/31548894

#SPJ12

The annual tuition at a public two-year college last year was $3,200. For the new school year, Elizabeth’s first year in college, the tuition is expected to increase 5%. She saved the same amount monthly to prepare for the cost of her tuition. What is the minimum amount Elizabeth should have saved monthly during the previous year?
$267
$280
$308
$400

Answers

Elizabeth had to save $280 each month.

The correct option is (2).

What is Percentage?

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics.

As per the given data:

The annual tuition at a public two-year college last year was $3,200.

Expected growth in the tuition fee = 5%

We have to find the amount Elizabeth should have saved monthly during the previous year to pay her tuition fees.

For finding the increase in tuition fee:

= 5% of 3200

= (5/100) × 3200

= $160

Tuition fees after growth = 3200 + 160 = $3360

Amount Elizabeth had to save each month = Tuition fees after growth/12

= 3360/12

= $280

Elizabeth had to save $280 each month.

Hence, Elizabeth had to save $280 each month.

To learn more on Percentage, click:

brainly.com/question/626448

#SPJ7

80 POINTS!!!!!!
Identify the x-axis on the plane shown below:

Question 1 options:


The green line represents the x-axis


The red line represents the x-axis


The black line represents the x-axis


The blue line represents the x-axis

Answers

plz dont be mean to me i just wanna understand and also its the blue line for answer 1

6. The ABC Book Club charges a $40 monthly fee, plus $2 per book read in that month. The Easy Book Club charges a $35 monthly fee, plus $3 per book read in that month. For each club, how many books must be read in 1 month for the total charges from each club to be equal?

Answers

The expression for the cost of the ABC Book Club is 2x + 40.  The expression for the cost of the Easy Book Club is 3x + 35.  To find when the total charge for both book clubs is equal, the two expressions must equal each other. (x = the number of books read)

2x + 40 = 3x + 35

Subtract 35 from both sides.

2x + 5 = 3x

Subtract 2x from both sides.

5 = x

So, the total charge for each club is equal when 5 books are read.

The number of books read from both ABC and Easy book clubs must be 5 in other to have a equal monthly charge.

Let the number of books read = b

ABC Book club :

Monthly charge = $40

Fee per book read = $2

Total monthly charge = 40 + 2b - - - - (1)

Easy Book Club :

Monthly charge = $35

Fee per book read = $3

Total monthly charge = 35 + 3b - - - (2)

To obtain an equal monthly charge ;

Equation(1) = Equation(2) and solve for b

40 + 2b = 35 + 3b

40 - 35 = 3b - 2b

5 = b

Hence, to have an equal monthly charge, the number of books read from each club must be 5.

Learn more : https://brainly.com/question/12152236

3/4-5/4m=113/24
please show work

Answers

may need to change into a mixed fraction

Please help and show work!! Will mark brainliest!!

Answers

Step 1. Use Multiplication Distributive Property

2^2x^2y^2 * -3x^2 * 4y^4

Step 2. Simplify 2^2 to 4

4x^2y^2 * -3x^2 * 4y^4

Step 3. Take out the constants

(4 * -3 * 4)x^2x^2y^2y^4

Step 4. Simplify 4 * -3 * 4 to -48

-48x^2x^2y^2y^4

Step 5. Use product rule: x^a x^b = x^a + b

-48x^2 + 2 y^2 + 4

Step 6. Simplify 2 + 2 to 4

-48x^4y^2 + 4

Step 7. Simplify 2 + 4 to 6

-48x^4y^6

WIll give brainiest answer if you are correct.

Answers

I would say its 28 but I have no idea.

Lea buys 6 model cars that each cost 15$. She also buys 4 bottles of paint that each cost $11. How much does lea spend on model cars and paint?

Answers

The expression representing this would be (6×15) + (4x11) because it costs a certain amount *per* car or bottle.

Simplify ------> 90 + 44
Simplify Again ------> 134




Final answer:

Lea spends $134 on model cars and paint.

Explanation:

To find out how much Lea spends on model cars and paint, we need to calculate the total cost of each item and then add them together. The cost of 6 model cars is 6 x $15 = $90. The cost of 4 bottles of paint is 4 x $11 = $44. Adding these two amounts together, Lea spends $90 + $44 = $134 on model cars and paint.

Learn more about Calculating total cost here:

https://brainly.com/question/17313965

#SPJ12

Will GIVE 5STARS!!!!
What is the radical form of the expression?

(5x^3y^4)^3/7

Answers

The answer is D

hope this helped


(5x^3y^4)^3/7

= 7th root of (5 x^3 y^4)^3

= 7th root of (5^3 x^9 y^12)

= 7th root of (125 x^9 y^12)

Answer is the last option

7th root of (125 x^9 y^12)

Last year 660 people attended the outdoor concert in the park. If 25% more tickets were sold this year than last year, how many people will attend the concert this year

Answers

So we know that 125% more will attend because it's 100% of the people from last year plus an additional 25%. This when converted to a decimal would be 1.25 (divide percent by 100). Then simply multiply the number of people from last year by 1.25.

660 × 1.25 = 825

You ca mb also break it up and do the 25% separately.

660 × .25 = 165

This value would then need to be added to last years amount because it's that many people *more*.

660 + 165 = 825


660 × 25%= 165 more people will attend

660+165= 825 total people (answer is 825 people)

Point P is the mid -point of MN and C is mid point of MP. Prove that, using Euclids axiom, MC =1/2PN

Answers

Answer:

Given:-Point P is the mid -point of MN and C is mid point of MP.

To prove:-MC =1/2PN

Proof:- As P is the mid -point of MN then P divides MN into two equal halves

such that MP=1/2MN=PN      ....................(1).(by Euclid's axiom "things which are equal to the same thing are also equal to one another")

Similarly as C is the mid point of MP then MC=1/2MP=CP ................(2)

Now replacing MP by PN from (1)in (2),we get

MC=1/2(PN)...................hence proved.

Suppose that the cost of renting a snowmobile is $37.50 for 5 hours. What would be the cost of renting 2 snowmobiles for 5 hours?

Answers

since 1 snowmobile is $37.50 for 5 hours you can multiply by 2 and get a total of $75 for 5 hours
Final answer:

The cost of renting 2 snowmobiles for 5 hours would be $75, as you double the cost for one snowmobile, which is $37.50.

Explanation:

The cost for renting one snowmobile for 5 hours is

$37.50

. If you want to rent 2 snowmobiles for the same amount of time, you simply need to double the cost. In mathematics, this is a simple multiplication operation. So,

2 x $37.50 = $75

. Therefore, the cost of renting 2 snowmobiles for 5 hours would be

$75

.

Learn more about Cost Calculation here:

https://brainly.com/question/33521342

#SPJ3

Other Questions
A mass spectrometer is being used to separate common oxygen-16 from the much rarer oxygen-18, taken from a sample of old glacial ice. (The relative abundance of these oxygen isotopes is related to climatic temperature at the time the ice was deposited.) The ratio of the masses of these two ions is 16 to 18, the mass of oxygen-16 is 2.66 1026 kg, and they are singly charged and travel at 3.70 106 m/s in a 2.00 T magnetic field. What is the separation (in m) between their paths when they hit a target after traversing a semicircle? Which of the following heart rates is within a normal target heart rate zone for a teen?A. 60 bpmB. 90 bpmC. 150 bpmD. 240 bpm What east asian country does not have access to seas or oceans Which of the following most closely describes the American revolutionary navy?It was commanded and stocked by warships from John Paul Jones.It was lacking in formal military provisions.It was funded by French and Spanish supporters.It was overwhelmed and defeated by the superior British navy. In the basketball some baskets are worth two points others are worth three points in one game the ratio of three point baskets to three point tries for one team was 2:7 if the team scored 30 points from three point baskets how many three point tries did the team have ? Send answer below, Thank you In an election, everyone voted for either Cindy of Shawn. Cindy received 55% of the voters. Shawn received 423 votes. How many total people voted in the election? Which operation should be performed first in the expression 5+77417? can somebody please help me with this problem thank you Based on the graph, which of the following statements is true?A. The number of pumpkins depends on the total price.B. The total price depends on the number of crates.C. The number of crates depends on the total price.D. The total price depends on the number of pumpkins On Monday Leah ran 4.5 miles on Tuesday she ran 1-3 that distance what is the total distance she ran THIRTY POINTS ASAP!!!! when a number is multiplied by 6 the result is 3. find the number The following sentence has a dangling modifier. Having been taught to cook by her grandmother, most recipes were found easy to follow. Which revision corrects the error in the sentence? Most recipes taught by her grandmother found cooking easy to follow. Most recipes were easy to follow, having been taught to cook by her grandmother. Having been taught to cook by her grandmother made most recipes easy to follow. Having been taught to cook by her grandmother, she found most recipes easy to follow. The Articles of Confederation gave Congress the power to:A. tax the states.B. regulate currency.C. override state laws.D. admit new states into the Union. All the organelles within a cell are interrelated and ________.Will give brainliest! PLEASE ANSWER ASAP! Salts and other chemicals are removed from the skin by _____ Which statement correctly compares radio waves and microwaves? Radio waves have shorter wavelengths and higher frequencies than microwaves. Radio waves have longer wavelengths and lower frequencies than microwaves. Radio waves have longer wavelengths and higher frequencies than microwaves. Radio waves have shorter wavelengths and lower frequencies than microwaves. What cause the movement of wind and water to the right or left on earth? WHOEVER KNOWS ABOUT BASEBALL AND OR SOFTBALL PLEASE HELP!!! 1. sacrifice flies 2. stealing a base 3. sacrifice bunt 4. advancing the runners 5. singles, doubles, triples, or homeruns 6. passed ball, wild pitches and throwing errors 7. grand slam 8. fielder's choice 9. scoring position 10. scoring a run 11. walks a. when a batter gets 4 balls thrown to him or her OR gets hit by a pitch b. when a runner tries to advance to the next base while the pitcher is throwing to a batter c. moving the runners from one base to the next d. when a runner touches home plate e. when a catcher, pitcher or fielder makes an error and allows a runner to advance f. when a batter lays down a bunt to force the defense to throw to first base, allowing another runner on base to advance to the next base into scoring position g. when a batter hits a home run and there are runners on first, second, and third - which will score 4 runs total h. when the defense has a choice who to get out. A fielder may choose to get the runner going to third rather than the runner going to first. i. types of hits in baseball or softball j. when a runner is on second or third and could get to home plate if the ball is hit hard or fast enough k. when a batter hits the ball into the air, a runner that is on base can legally try to go to the next base, but only after the ball has been caught by the fielder Find the equation of the line which passes through the point (3, 5) and is perpendicular to the line 4x + 3y = 6. Express your answer in slope-intercept form.