Write An equation in slope intercept form for the line passing through each pair of points (-1,3) and (2,-5)

Answers

Answer 1

Slope m = y2-y1/x2-x1

Points (-1,3) and (2,-5)


M= -5-3/2-(-1)


M= -8/3


M= -8/3


Slope is -8/3


Now fill in the formula equation of a line using one if the points and slope to find b .


(2,-5) and slope -8/3


Y=mx+b


-5=-8/3(2)+b


-5=-16/3+b

-5+16/3=b

1/3=b


Now put all together


Y= -8/3x+1/3

Answer 2

Slope intercept form of a line is y = mx + b, where m is the slope and b is the y coordinate of the y intercept.

The easiest way to solve this problem is by using another equation for a line, also known as point slope form. This equation is best to use for a line if you have  a point and slope of the line, but do not have the y-intercept.

We need to find the slope of this line passing through the pair of points (-1, 3) and (2, -5). We can do this by using the slope formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute in the appropriate coordinates.

[tex]\frac{-5-3}{2-(-1)}[/tex] = [tex]\frac{-8}{3}[/tex], so the slope of the line is -8/3.

Point slope form of a line is [tex]y-y_1=m(x-x_1)[/tex]. Substitute -8/3 for m, and use the point coordinate (-1, 3) for y1 and x1. You could use either point coordinate but I chose to use this one.

[tex]y-3= -8/3[x-(-1)][/tex]

Distribute -8/3 inside the parentheses.

[tex]y-3= -8/3x - 8/3[/tex]

Add 3 to both sides.

y = -8/3x + 1/3 is your answer (slope intercept form).


Related Questions

3/5 of a number is 30. What's the number?

Answers

To figure out the number we need to set up our equation to make more sense.

3/5 = 30/x      (x is our missing number)

We know that what ever you do to the top of the fraction you can do to the bottom.

So if we multiply 3 x 10 we get 30.

Therefore to get the number we must multiply 5 by 10

5 x 10 = 50

So our answer and missing number is 50

The answer is 50 Bc when u 30 divided by 3 you get 10 and 10 times 5 equals 50

The bike rental company has determined that they will charge based on the nearest half hour. If Michael rented a the bike for 5.5 hours how much would that cost ?

Answers

Answer:

If it were.... 5 dollars or so... That would be 30 dollars i think...

Step-by-step explanation:

The rental cost of the bike for 5.5 hours will be $55.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the bike rental company has determined that they will charge based on the nearest half-hour is $5.

The number of half-hours in 5.5 hours,

N = 5.5 / 0.5 = 11

The rental cost will be,

C = 11 x 5

C = $55

Therefore, the rental cost of the bike for 5.5 hours will be $55.

The complete question is given below.

The bike rental company has determined that they will charge based on the nearest half hour is $5. If Michael rented the bike for 5.5 hours how much would that cost?

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the basketball team sold t shirts and hats as a fundrasier they sold a total of 23 items and made a profit of 246 the made a profit of 10 for every shirt and every hat is 12 when they sold them enter the number of t shirts and enter the amount of hats

Answers

s - the number of the t-shirts;

h - the number of hats:

The system of equations:

s + h = 23

10 s + 12 h = 246

--------------------------

s = 23 - h

10 * ( 23 - h ) + 12 h = 246

230 - 10 h + 12 h = 246

2 h = 246 - 230

2 h = 16

h = 16 : 2

h= 8

s = 23 - 8

s = 15

Answer: The basketball team sold 15 t-shirts and 8 hats.


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whats the product of 3x(-6)?

Answers

1) Switch the negative sign with the three= -(3x6)

2) Multiply= -18

3) Your answer is -18

Hope I could help! :)

How many ounces of a 40% alcohol solution must be mixed with 16 ounces of a 45% alcohol solution to make a 44% alcohol solution

Answers

I'm pretty sure it's 4 ounces so it makes up 1/5 of 40% alcohol and 4/5 of 45% alcohol

If f(x)=5x+4, which of the following is the inverse of f(x)?

Answers

[tex]Solution,\mathrm{Inverse\:of}\:5x+4:\quad \frac{x-4}{5}[/tex]

[tex]Steps:[/tex]

[tex]y=5x+4[/tex]

[tex]\mathrm{Interchange\:the\:variables}\:x\:\mathrm{and}\:y, x=5y+4[/tex]

[tex](\mathrm{Solve}\:x=5y+4\:\mathrm{for}\:y),(x=5y+4)[/tex]

[tex]\mathrm{Switch\:sides}, 5y+4=x[/tex]

[tex]\mathrm{Subtract\:}4\mathrm{\:from\:both\:sides}, 5y+4-4=x-4[/tex]

[tex]\mathrm{Simplify}, 5y=x-4[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}5, \frac{5y}{5}=\frac{x}{5}-\frac{4}{5}[/tex]

[tex]\mathrm{Simplify}, y=\frac{x-4}{5}[/tex]

[tex]\mathrm{The\:Correct\:Answer\:is\:\frac{x-4}{5}}[/tex]

[tex]\mathrm{Hope\:This\:Helps!!!}[/tex]

[tex]\mathrm{-Austint1414}[/tex]

To find the inverse of f(x) = 5x + 4, swap x and y to get x = 5y + 4, solve for y to get y = (x - 4)/5, which is the inverse.

With the given function f(x) = 5x + 4, we first replace f(x) with y to get y = 5x + 4. We then swap x and y to get x = 5y + 4. To solve for y, we subtract 4 from both sides, giving us x - 4 = 5y. Then, we divide both sides by 5, yielding (x - 4)/5 = y. Therefore, y = (x - 4)/5, which is the inverse of the function f(x).

what letter represents the initial value in y=a(b)^x

Answers

a represents the initial value

The letter "a" represents initial value. "b" is the rate, and "x" is time. Hope I could help!

According to the Triangle Inequality, the length of the longest side of a triangle must be less than the sum of the length of the other two sides. The two shortest sides of a triangle measure 3/10 and x + 1/5, and the longest side measures 3/2x

Answers

x has to equal 1. 3/10 + 1/5 = 1/2

the equation is now 1/2 + x = 1 1/2x

x = 1

1 1/2 = 1 1/2

Final answer:

The Triangle Inequality Theorem is applied to determine the range of values for x that would make the side lengths given form a valid triangle.

Explanation:

Understanding the Triangle Inequality Theorem

The Triangle Inequality Theorem states that in any triangle, the length of any side must be less than the sum of the other two sides. For the given question, we need to use this principle to analyze the side lengths. With the two shorter sides given as [tex]\( \frac{3}{10} \) and \( x + \frac{1}{5} \)[/tex], and the longest side given as [tex]\( \frac{3}{2}x \)[/tex], we can establish the inequality:

[tex]\( \frac{3}{2}x < \frac{3}{10} + \left( x + \frac{1}{5} \right) \).[/tex]

By solving this inequality, we can find the range of possible values for x that makes the configuration a valid triangle. This problem is an application of basic geometric principles and inequalities.

Which of the following is a mathematical statement showing that one ratio is equal to another ratio?

Answers

a proportion is a statement that two ratios are equal

Answer:

Proportion

Step-by-step explanation:

took test

I need help with this equation
A(x+b)-c=d

Answers

Reorder the terms:
a(b + x) + -1c = d
(b * a + x * a) + -1c = d
(ab + ax) + -1c = d

Solving
ab + ax + -1c = d

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add 'c' to each side of the equation.
ab + ax + -1c + c = c + d

Combine like terms: -1c + c = 0
ab + ax + 0 = c + d
ab + ax = c + d

Reorder the terms:
ab + ax + -1c + -1d = c + -1c + d + -1d

Combine like terms: c + -1c = 0
ab + ax + -1c + -1d = 0 + d + -1d
ab + ax + -1c + -1d = d + -1d

Combine like terms: d + -1d = 0
ab + ax + -1c + -1d = 0

There is no solution to this equation.

Determine the slope of the line that passes through the points (-5, -4) and (0, 10).

Answers

so the equation for slope is y2-y1/x2-x2

so this would be -4-10/-5-0 which equals -14/-5 which is the same thing as 14/5

so the answer is 14/5 or if its mixed then 2 4/5

Hope this helps!

m=y2-y1/x2-x1

m=1-1/10-(-5)

m=1-1/10 + 5

m=0/15

Slope: m=0

Simplify the following expression.
6k – 1 + 6k

Answers

The simplified answer is 12k -1

Hope this helps!!!!!!!!1

Hello!

[tex]6k - 1 + 6k\\[/tex]

Explanation:

↓↓↓↓↓↓↓↓↓↓↓↓

First this problem it should be the group like terms.

[tex]6k+6k-1[/tex]

Then you add similar by the elements.

[tex]6k+6k=12k[/tex]

[tex]=12k-1[/tex]

Answer⇒⇒⇒⇒⇒⇒⇒=12k-1

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

A) 30
B) 2.5
C)1.5
D)2

Answers

Angle 1 and angle 2 are corresponding (they have an equal value). Set the two equations equal to each other, then solve.

40-4x=50-8x
+4x +4x
40=50-4x
-50 -50
-10=-4x
/-4 /-4
10/4=x
5/2=x
2.5=x

ANSWER: B) 2.5





It’s B) 2.5 it’s very easy

two-thirds a number less than four is negative seven.

Answers

4 - 2/3x = -7 would be the equation to represent this.

3x + 4y = 16 slope y and x intercepts

Answers

I think the x-intercept will be (16/3,0)

AND the y-intercept to be (0,4)

slope=-3/4

x intercept= (16/3,0)

y intercept=(0,4)

what is the product of -2 1/4 and -4 1/2 as a mixed number and in simplest form

Answers

To find the answer:
-2 1/4 × -4 1/2
When both numbers are negative, we take it out so that the answer would be positive.
= 2 1/4 x 4 1/2
= (2x4+1)/4 x (4×2+1)/2
= 9/4 x 9/2
= 9x9/4x2
= 81/8
= 8x10+1/8
= 10 1/8
Therefore the answer is 10 1/8

Hope it helps!

Given A= {(2,3),(5,1),(-3,-2),(0,3)} A is a subset of

A. N X R
B. R X N
C. N x N
D. R X R

Answers

[tex]A=\{(2,\ 3),\ (5,\ 1),\ (-3,\ -2),\ (0,\ 3)\}\\\\X=\{2,\ 5,\ -3,\ 0\}\\\\Y=\{3,\ 1,\ -2}\\\\-3\ and\ -2\ are\ not\ a\ natural\ numberss.\\\\Therefore\ your\ answer\ is\ D.\ \mathbb{R}\ \times\ \mathbb{R}[/tex]

The set A= {(2,3),(5,1),(-3,-2),(0,3)} is a subset of 'R x R', the cartesian product of Real numbers and Real numbers because both elements of all pairs in the set A are real numbers.

The given set A contains ordered pairs where each pair is constituted of two elements. An ordered pair is always in the form of (a, b) where 'a' is from the first set and 'b' is from the second set in a Cartesian product.

In the given subsets:

A. N X R(Cartesian product of Natural numbers and Real numbers)

B. R X N(Cartesian product of Real numbers and Natural numbers)

C. N X N(Cartesian product of Natural numbers and Natural numbers)

D. R X R(Cartesian product of Real numbers and Real numbers)

Looking at the subset A= {(2,3),(5,1),(-3,-2),(0,3)}, we can observe the first element of each pair in the set, we have 2, 5, -3, and 0. Negative numbers and zero are not natural numbers. Therefore it can't be a subset of 'N x R' or 'N x N'. But they are real numbers. Hence, it could be either 'R x N' or 'R x R'. However, if we look at the second element of each pair, we see that they are 3, 1, -2, and 3. Among these, -2 is a negative number and is not a natural number, but is a real number. Therefore, the set A must be a subset of 'R x R', which is the cartesian product of Real numbers and Real numbers.

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Bryce rides his bike 4 blocks west to school after school he rides six blocks East to the grocery store how many blocks past his house is Bryce when he arrives at the grocery store

Answers

He rode 6 blocks to the East than he rode 4 blocks to the West, so that means after he rode 6 blocks to the east he went backwards 4 blocks.

The equation is, 6-4=2 Because he only past 2 blocks from his home to arrive at the grocery store.

Final answer:

Bryce is 2 blocks past his house when he arrives at the grocery store.

Explanation:

To find out how many blocks past his house Bryce is when he arrives at the grocery store, we need to calculate the total distance he has traveled from his house to the grocery store. He rides 4 blocks west to school and then 6 blocks east to the grocery store. To find the total distance, we can subtract the distance traveled west from the distance traveled east: 6 blocks - 4 blocks = 2 blocks past his house.

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4+2p_< 3p -1 can somebody answer this for me

Answers

Answer: p ≥ 5


Step-by-step explanation:

Subtract 4 from both sides :

4+ 2p - 4 ≤ 3p-1 - 4

Simplify :

2p ≤ 3p -5

Subtract 3 p from both sides

2p - 3p ≤  3p - 5 - 3p

Simplify:

- p ≤ - 5

Multiply both sides by -1 (reverse the inequality right) :

( - p ) * ( - 1 ) ≥ ( -5 ) * ( - 1 )

Simplify :

p ≥ 5

Hope that helps!

according to the 2010 United States census the population of a town was 89154 roughly a 12% increase from 79601 in 2000 constructing Expo Neo model to predict the town's population Each decade use your model to predict the population of the town in 2040

Answers

Final answer:

To predict the population of the town in 2040 using an exponential growth model, we can use the formula P(t) = P₀ * (1 + r)^(t - t₀), where P(t) is the population at time t, P₀ is the initial population, r is the growth rate, and t₀ is the initial time. Given the population in 2010 and 2000, we can calculate the growth rate and substitute the values into the formula to predict the population in 2040.

Explanation:

To construct an exponential growth model to predict the population of the town in 2040, we can use the formula P(t) = P₀ * (1 + r)^(t - t₀), where P(t) is the population at time t, P₀ is the initial population, r is the growth rate, and t₀ is the initial time.

Given that the population in 2010 was 89154 and in 2000 was 79601, we can calculate the growth rate as follows:

Growth rate = (Population in 2010 - Population in 2000) / Population in 2000 * 100%

Growth rate = (89154 - 79601) / 79601 * 100%

Growth rate ≈ 11.98%

Now we can substitute the values into the exponential growth model and predict the population in 2040, which is 30 years after 2010:

P(2040) = 89154 * (1 + 0.1198)^(2040 - 2010)

P(2040) ≈ 89154 * 1.1198^30 ≈ 89154 * 4.676

P(2040) ≈ 417204.504

about 47% of the 15152 samples researchers found were bacteria. what number of dna samples were not bacteria

Answers

To find what number of DNA samples were not bacteria we have to find what was 47% of the 15,152 samples first.

We can do this by multiplying 0.47 x 15,152 = 7,121.44

Now 7,121.44 is 47% of the samples that DOES have bacteria. To find out how many do not we must subtract.

15,152 - 7,121.44 = 8,030.56

So the number of DNA samples that were not bacteria were 8,030.56.

GOOD LUCK! :)

How can I find the area of this?

Answers

A^2+B^2=C^2
160^2+120^2=c^2
25600+14400=c^2
40000=C^2
square root(40000=c^2)
diagonal is 200m

100^2+b^2=200^2
10000+b^2=40000
b^2=30000
square root(b^2=30000)
Unknown side is 173.2m

120×160×.5= 9600 m^2
this is bottom triangles area

100×173.2×.5=8650 m^2
this is the top triangle area

8650+9600= 18,250 m^2
total area

Find the area of each triangle and then add them together.

Bottom Triangle

A = [tex]\frac{1}{2}[/tex]b * h

  = [tex]\frac{1}{2}[/tex](160)(120)

  = 80(120)

  = 9600 m²

Top Triangle

First we need to find the side length. We can calculate the length of the hypotenuse using Pythagorean Theorem for the bottom triangle.

a² + b² = c²

120² + 160² = c²

14400 + 25600 = c²

40000 = c²

200 = c

Now we can use Pythagorean Theorem on the top triangle to find the missing side length.

a² + b² = c²

100² + b² = 200²

10000 + b² = 40000

              b² = 30000

              b ≈ 173

A = [tex]\frac{1}{2}[/tex]b * h

  = [tex]\frac{1}{2}[/tex](100)(173)

  = 50(173)

  = 8650 m²

Top Triangle + Bottom Triangle = Total Area

     8650       +        9600

                   18250

Answer: Area = 18,250 m²


Please help ‼️‼️‼️
Write an equation of the line containing the given point and perpendicular to the given line

Answers

the first step is to turn the line into standard form.

2x+5y=7
7-2x=5y

7/5-(2/5)x=y

the secound step is making it a perpendicular line. the way you do this is by multiplying the coefficient by -1. then you would flip the fraction over. and writing it in standard form with a being the constant.

(5/2)x+a=y

now you fill in the points.

(5/2)(0)+a=7

solve

0+a=7

a=7

the full equation will now be.

(5/2)x+7=y

Is Ralph's ran 15 miles in 5 days how far will he be expected to run in 8 days

Answers

24 miles because, s Ralph runs 15 miles in 5 days, so 5 times 3 =15 so 3 times 8 = 24 miles


[tex] \frac{15}{5} = 3 \: miles \: a \: day \\ 3 \times 8 = 24[/tex]
so he would run 24miles in 8 days

You earn the same amount each week at your part-time job. The total amount you earn in 4 weeks is $460. How much do you earn per week?

Answers

total earning = $460

period of work = 4 weeks

earning/week = ($460/4 weeks) = $115

Please help !! :) I am offering 20 points !!

Answers

(2,3)  is the ordered pair because both lines meet at this direct point on the graph.

x=2

y=3


What is the value of t=1

Answers

Answer:

???

Step-by-step explanation:

Do you not have the full equation posted because t=1 is t=1

how much does the medium smoothie cost?

Answers

2 jumbo + 1 medium = 4 med + 0.15

Multiply 2 jumbo smoothies by 2 which is >> 9.90+m =4 m+0.15

9.75=3m

Divide and it'll be 3.25

3.25=m

I Actually spent a hour trying to write an answer as it also challenged me, then i saw how simple it is i wish i could take back my time


Anyways, to find out the amout a medium smoothie cost we need to find the equation for it. With the given information we can find out that the cost of 4 medium smoothies is the same as 2 jumbos and one smoothie.So first lets find out the cost of 2 smoothies, 4.95 * 2 = 9.9.Now lets plot them into an equation.

4x+0.15=9.9+x

Simplyfy the equation by removing the x from the right side

4x-x=3x      x-x=0

so now our new equation is

3x+0.15=9.9

Next lets remove the 0.15

0.15-0.15 = 0       9.9-0.15=9.75

so our new equation is now

3x=9.75

Then, we simplify the x by dividing the amount of x's it has

3x/3=x            9.75/3=3.25

So, after doing all that math, we found out that x=3.25

So each smoothie costs $3.25

so, the equation would be 4x+0.15=9.9+x

We can test it out by plotting in the situation

(3.25*4)+0.15=13.15       9.9+3.25=13.15

Don't forget to add the extra amount.

I am so glad i was able to find this out, and hope this helps you, as i had trouble with it myself, and thats coming from someone who's taking honors!

The sum of three consecutive integers is 171. What is the largest integer ?

Answers

56, 57, 58

Those three consecutive numbers add up to 171



Which statement about the equation is true?



3+x=2–3x



The equation has no solution.
The equation has one solution.
The equation has infinitely many solutions.

Answers

If I did it correctly the there would be one solution for the equation.

3+x=2-3x

3=2-4x

1=-4x

x=-1/4

Answer:

Step-by-step explanationn:

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