A line includes the points (2, 10) and (1, 4). what is its equation in slope-intercept form?

Answers

Answer 1
Hi!

This problem has two parts. First you need to find the slope, so let's do that. The equation for the slope is m = y2-y1/x2-x1

We can now plug the two given points into the equation. 
m = 10-4/2-1
m = 6/1
m = 6

Now that we know the slope, and one point we can put this in slope intercept form. Slope intercept form is y=mx + b

So now we can plug in one point and the slope to find b

10 = 6(2) + b
10 = 12 + b
-2 = b

Now that we know both m and b, we can plug only those two into the equation y=mx + b, and we have the equation.

The equation is y = 6x - 2

Related Questions

please help.
solve the inequality |6 - v| < 9

write the inequality as two inequalities with the absolute value and give a solution set.

Answers

-9 < 6 -v < 9 . . . . two inequalities
-15 < -v < 3 . . . . . subtract 6
-3 < v < 15 . . . . . . multiply by -1

Find the product of (x + 5)(x − 5). (1 point)


x2 − 10x + 25

x2 + 10x + 25

x2 − 25

x2 + 25

Answers

FOIL (first outside inside last)

x^2-5x+5x-25 = x^2-25
The answer is x2- 25 hope this helps!

The mean of 10,12,16,20,p,26 is 17.Find the value of p.

Answers

there are 6 numbers total

17 * 6 = 102

10 + 12 + 16 + 20 + 26 = 84

p = 102-84 = 18

p = 18
Answer:  " p = 18 " .
__________________________________________________
Explanation:
__________________________________________________
The [arithmetic] mean =
 
{the sum of all the values in the data set} 
        divided by {the number of values in the number set} ; 
__________________________________________________
  → 17 = (10 + 12 + 16 + 20 + 26 + p) / 6 ;  

__________________________________________________
→ (10 + 12 + 16 + 20 + 26 + p)  = 17 * 6 ;

 →     (p + 84) = 102

Subtract "84" from each side of the equation; 
  to isolate "p" on one side of the equation; & to solve for "p" ; 

→ p + 84 – 84 = 102 – 84 ; 

p = 18 . 
_________________________________________________

The answer is:
 " p = 18 " .
_________________________________________________

Which statements correctly use the properties of exponents to simplify? Check all that apply.

(xy2)2 = x2y4
x3x3 = x6
3y–2 =
2(x2)3 = 8x6
–x2(–x3) = –x6

Answers

the first one, second, and third

Answer:

1 2 and 3

Step-by-step explanation:

6.3% of 41 is?

a. 2.6
b. 6.5
c. 258.3
d. 650.8

Answers

(41/100)6.3= 2.583≈ 2.6
a✓
I think it's A 2.6 hope that helps

You buy 3 grapefruits for $1.50, a pound of apples for $.79, some grapes for $2.50, and some bananas for $1.21. Find the total cost of the fruit.

Answers

In all, the cost would be $6


6 dollars is the answer because 1.5 + .79+ 2.5+ 1.21= 6 in total.

Happy studying!

helppppppppppppppppppppp

Answers

Answer:
1.796

Explanation:
log base 6 of 25 can be rewritten as:
log base 6 of (5^2) = 2 * log base 6 of 5 
                               = 2 *0.8982
                               = 1.7965

Hope this helps :)

El lote de la familia lópez tiene un lote de 16m*10m y se desea construir una casa de base rectangular en el centro de el.¿que dimensiones debe tener el rectángulo del piso de la casa si tiene un área de 91m2?

Answers

The dimensions of the house should be 7 m by 13 m.

If the house is to be centered, we will take the same amount from the width as we do from the length of the lot for the dimensions.  This gives us (10-x) and (16-x) as the dimensions.

The area of a rectangle is found by multiplying the length and width:
(10-x)(16-x) = 91

Multiplying the binomials we have:
10*16 - x*10 - x*16 -x*(-x) = 91
160 - 10x - 16x --x² = 91
160-10x-16x+x² =91

Combine like terms:
160-26x+x²=91

Rewrite this in standard form:
x²-26x+160=91

Subtract 91 from both sides:
x²-26x+160-91 = 91-91
x²-26x+69 = 0

Factoring this, we look for factors of 69 that sum to -26.  -23*-3 = 69 and -23+-3 = -26, so:

(x-23)(x-3) = 0

Using the zero product property we know that either x-23=0 or x-3=0, so x=23 or x=3. 

x was the amount we take off of the width and length of the lot; if we took 23m off of it, 10-23 gives us a negative amount, which is not realistic. This means both the width and length are subtracted by 3.

10-3 = 7 and 16-3 = 13.

These are the dimensions of the house.

If the function graphed is f(x), find f(1).
A) -4
B) -1/4

C) 0
D) 4

Answers

Answer: choice A) -4

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

Step 1) Draw a vertical line through 1 on the x axis

Step 2) Mark the point where the vertical line and the blue curve intersect (or cross each other)

Step 3) Draw a horizontal line through the point marked in step 2. Note how this horizontal line goes through -4 on the y axis. 

So the point (1,-4) is on the blue curve. This means if x = 1 is the input then y = -4 is the output. Recall that y = f(x). So f(x) = -4 is the output as well when the input is x = 1.

In short, this is why f(1) = -4

What is the term for a Wage and Tax statement and what is it’s purpose?

Answers

Most commonly referred to as a W-2. This form shows the amount of an individual's earnings and deductions.

What is the missing value in the following arithmetic sequence?

Answers

3.8 - 2 = 1.8

so
5.6 + 1.8 = 7.4

missing is 7.4

answer is C. 7.4

Answer:

Step-by-step explanation:

Alright, lets get started.

The first term is 2 and the second term is 3.8.

It means the common difference is [tex]3.8-2 = 1.8[/tex]

So, adding common difference :

First term = 2

Second term = 3.8

Third term = [tex]3.8+1.8=5.6[/tex]

Fourth term = [tex]5.6+1.8 = 7.4[/tex]

So the answer is 7.4   :   answer

Hope it will help :)

12 ticket sellers, 25 cleaning persons, and 15 ushers employees will be paid $10, $7.50, 8.50 per hour for 50 hours per month what is the monthly salary

Answers

----------------------------------------------------------
Ticket Sellers
----------------------------------------------------------
1 ticket seller  = $10 x 50
1 ticket seller  = $500

12 ticket sellers = $500 x 12
12 ticket sellers = $6000

----------------------------------------------------------
Cleaning person
----------------------------------------------------------
1 cleaning person = $7.50 x 50 
1 cleaning person = $ 375

25 cleaning person = $375 x 25
25 cleaning person = $9375

----------------------------------------------------------
Ushers
----------------------------------------------------------
1 usher = $8.50 x 50
1 usher = $425

15 ushers = $425 x 15
15 ushers = $6375

----------------------------------------------------------
Total
----------------------------------------------------------
$6000 + $9375 + $6375 = $21750

----------------------------------------------------------
Answer: Total monthly salary per month = $21750
----------------------------------------------------------

Joes is 10 years older than james. in 8 years joe will be three times older than james. how old are they now

Answers

Joes is 16 and James is 6!!

A freight carrier charges $0.57 for a package weighing up to one ounce plus and additional $0.32 for each additional ounce or fraction of an ounce. A company is shipping a package weighing 224 grams. What is the weight of the package in ounces?

Answers

There are approximately 8 ounces (7.901) in 224 grams. 

Answer:

its is 8 oz 224 grams is = to 7.901

Step-by-step explanation:


Please help me answer

Answers

1. given
2. transitive prop of equality 
3. subtraction property of equality

find the perimeter of the quadrilateral. if x = 2 the perimeter is ___ inched.

Answers

7(2) + 30 = 14+30 = 44
3(2^2) -5(2)+20 = 12 - 10 + 20 = 22
4(2^2) +8(2) = 16 + 16 = 32

P = 31 + 44 + 22 + 32 = 129

answer
129 inches

Answer:

Perimeter is 129 inches.

Step-by-step explanation:

We are given,

A quadrilateral with sides lengths [tex](4x^2+8x),(3x^2-5x+20),(7x+30),31[/tex] inches.

Now, the values of the side lengths when x = 2 are,

[tex](4x^2+8x)=(4\times 2^2+8\times 2)=(4\times 4+16)=16+16=32\ inch\\\\(3x^2-5x+20)=(3\times 2^2-5\times 2+20)=(3\times 4-10+20)=12+10=22\ inch\\\\(7x+30)=(7\times 2+30)=14+30=44\ inch[/tex]

Since, Perimeter of a quadrilateral = Sum of its sides.

Then, Perimeter of given quadrilateral = 32 + 22 + 44 + 31 = 129 inches.

Hence, the perimeter is 129 inches.

Maria plans to fill pots in her garden with soil and plant food. Maria has 8 1/2 quarts of soil as 1 1/2 quarts of plant food. Each pot requires 3/4 quart of soil. For how many pots does Maria have enough soil?

Answers

1. You have the following information:

 - Maria has 8 1/2 quarts of soil.
 - Each pot requires 3/4 quart of soil.

 2. Keeping this on mind, you can convert the mixed number 8 1/2 and the fracion 3/4 to decimals, as below: 

 8 1/2=8.5 quarts
 3/4=0.75 quarts

 3. Therefore, you have:

 1 pot-----0.75 quarts
       x-----8.5 quarts

 x=(8.5x1)/0.75
 x=11 pots

 For how many pots does Maria have enough soil?

 The answer is: 11 pots
 
 
 

a building in san francisco is shaped like a square pyramid it has a slant height og 856.1 feet and each side of its base is 145 feel long find the lateral area of the building

Answers

we know that

for a Square Pyramid
[lateral area]=4*[a*s/2]--------> 2aS

where
a  is the length side of the square base
S is the slant height
a=145 ft
S=856.1 ft

[lateral area]=2*145*856.1---------> 248269 ft²

the answer is 248269 ft²

30 POINTS + BRAINLIEST! SHOW YOUR WORK FOR BRAINLIEST PLEASE!

Answers

A four sided figure that figs inside a circle is called a cyclic quadrilateral. One of the properties of such a figure is that the opposite angles add up to 180o

2x + 3 + 4x + 3 = 180o
6x + 6 = 180
6x = 174
x = 174 / 6
x = 29

C = 2x + 1
C = 2*29 + 1
C = 59o

2x+3+4x+3= 180o     6x+6=180    6x=174    174/6   29

2x+1    (2)29+1     59o

Step-by-step explanation:

3. Divers looking for a sunken ship have defined the search area as a triangle with adjacent sides of length 2.75 miles and 1.32 miles. The angle between the sides of the triangle is 35. To the nearest hundredth, find the search area. 2.08 mi²
2.97 mi²
1.49 mi²
1.04 mi²

Answers

Area = (1/2) x 2.75 x 1.32 x sin(35 deg) = 1.815 x (0.573576) = 1.04 sq. miles.

Answer:

2.08 mi²

Step-by-step explanation:

Since, the area of the triangle is,

[tex]A=s_1\times s_2\times sin \theta[/tex]

Where, [tex]s_1[/tex] and [tex]s_2[/tex] are adjacent sides and [tex]\theta[/tex] is the included angle of these sides,

Here, [tex]s_1[/tex] = 2.75 miles,

[tex]s_2[/tex] = 1.32 miles,

And, [tex]\theta[/tex]  = 35°,

hence, the area of the given triangle is,

[tex]A=2.75\times 1.32\times sin 35^{\circ}[/tex]

[tex]= 3.63\times 0.57357643635[/tex]

[tex]= 2.08208246395\approx 2.08\text{ square miles}[/tex]

Abby walked miles on Monday, miles on Tuesday, and miles on Wednesday. What is the total distance Abby walked in the three days?
a. miles
b. miles
c. miles
d. miles

Answers

Answer:WE Cant se the numbers

Step-by-step explanation:the ancwer would be 7 and 7/12

99pts WILL GIVE BRAINLIEST Use the diagram and given information to answer the questions and prove the statement. Given: X Z 
 Prove: [see image] Re-draw the diagram of the overlapping triangles so that the two triangles are separated.


What additional information would be necessary to prove that the two triangles, XBY and ZAY, are congruent?

What congruency theorem would be applied?

Prove using a list/flow chart proof.

Answers

I will base the figure from the one you attached in the other problem you posted. (Also attached here).

Statements [Reasons]
1. Angle X is congruent to Angle Z [Given]
2. Line XY is congruent to Line YZ [Given]
3. Angle Y is congruent to Angle Y [Congruence is reflexive]
4. Triangle XBY is congruent to Triangle ZAY [ASA]

ANSWER: The ASA (Angle Side Angle) Congruency Theorem could be applied.

what is the sum of
2(5a-4a)+6a

Answers

The first step you would take is to combine all like terms in the parentheses. 
5a - 4a = a
Then you would multiply 2 by a, which would equal 2a.
Finally, combine all like terms (all terms with a), to get 8a. (2a + 6a = 8a)
Hope this helps!

Hey there :)

We need to open the brackets and distribute the 2
However, we can see that both the terms within the parenthesis are like terms

5a - 4a = 1a or a

2(1a) + 6a

2a + 6a  We can combine the like terms
= 8a

ASAP Plz what is the value of x? Plz no joking around this is from quiz 4.09: Special Right Triangles 2

Answers

Ooh this is a good one!
Firstly, let's find RT so that we can solve the top triangle.
We could actually use 3 methods to find this side: 1) trig to find RT
2) trig to find ST, then Pythagorean Theorem to determine RT
3) use the special 30-60-90 right triangle rule ... hmm, I'm going with the last because it's easiest ;)

For 30-60-90 triangles, the sides are always as follows: smallest side (opposite the 30) is s, the middle side is sSR3, and the hypotenuse is 2×s
Thus, since we have the side opposite 60, it is = sSR3, so:
[tex]s \sqrt{3} = 2 \sqrt{3} \\ s \sqrt{3} \div \sqrt{3} = 2 \sqrt{3} \div \sqrt{3} \\ s = 2[/tex]
So now, the hypotenuse (RT) = 2s = 2(2) = 4

Secondly, we are looking at the other type of special right triangle, the 45-45-90:
The side opposite the 45s are s (remember side lengths are equal whose opposite angles are equal); and the hypotenuse is always
[tex]s \sqrt{2} [/tex]
we only need QR, which is s, which is also = RT
So the answer is:
QR = x = 4

x = 4 IS THE FINAL ANSWER!!!


[ i hope by my explanations you understand how better to do special right triangles in the future] :-D

Answer: The correct answer is 4

Step-by-step explanation:

Here is proof from the quiz

PLZ HELP ME ON THIS

PLZ EXPLAIN IT TO ME

Answers

I think it might be the first one 400(1.04) it can't be the last cause 80(1.04) + 5 is basically like the third one 85(1.04).
80 * 5 = 400 
Hope it helps

which are the solutions of the quadratic equation x^2=9x+6

Answers

You can use the quadratic equation to solve this once you have this set equal to zero. The answers would be roughly 9.6 and -0.6. 

The solutions of the quadratic equation [tex]\(x^2 = 9x + 6\)[/tex]are:

[tex]\[x = \frac{9 + \sqrt{105}}{2}\][/tex] and [tex]\[x = \frac{9 - \sqrt{105}}{2}\][/tex]

To find the solutions of the quadratic equation [tex]\(x^2 = 9x + 6\)[/tex], we need to rewrite it in standard quadratic form [tex]\(ax^2 + bx + c = 0\).[/tex]

Given:

[tex]\[x^2 = 9x + 6\][/tex]

Subtract [tex]\(9x\) and \(6\)[/tex] from both sides to get it in standard form:

[tex]\[x^2 - 9x - 6 = 0\][/tex]

Now, to solve this quadratic equation, we can factor it or use the quadratic formula:

The quadratic formula is:

[tex]\[x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}\][/tex]

For our equation:

[tex]\[a = 1, b = -9, \text{ and } c = -6\][/tex]

Substituting these values into the quadratic formula:

[tex]\[x = \frac{-(-9) \pm \sqrt{(-9)^2-4(1)(-6)}}{2(1)}\]\[x = \frac{9 \pm \sqrt{81+24}}{2}\]\[x = \frac{9 \pm \sqrt{105}}{2}\][/tex]

So, the solutions of the quadratic equation [tex]\(x^2 = 9x + 6\)[/tex]are:

[tex]\[x = \frac{9 + \sqrt{105}}{2}\][/tex] and [tex]\[x = \frac{9 - \sqrt{105}}{2}\][/tex]

The sales tax on a $250 computer is 17.50. find the sales tax rate.

Answers

if we take 250 to be the 100%, what is 17.50 off of it in percentage?

[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 250&100\\ 17.50&t \end{array}\implies \cfrac{250}{17.50}=\cfrac{100}{t}\implies t=\cfrac{17.50\cdot 100}{250}[/tex]

2, 4, 6, 8, 10
I know this diverges but what is the limit?

Also, is there a limit with numbers that repeat? (ie: -1,1,-1,1...(-1)^n)

Answers

1. You are right, this sequence diverges (or converges to infinity) so

[tex]$\lim_{n\to\infty}\,2n=\infty[/tex]

2. In this case limit does not exist.

Carbon-14 has a half-life of 5,730 years. If the age of an object older than 50,000 years cannot be determined by radiocarbon dating, then

* carbon-14 levels in a sample are undetectable after approximately ten half-lives.
* carbon-14 levels in a sample are undetectable after approximately nine half-lives.
* the half-life of carbon-14 is too long to accurately date the object.
* a radioisotope with a shorter half-life should be used to date the object.

Answers

* carbon-14 levels in a sample are undetectable after approximately nine half-lives.
Nine half-lives pf carbon 14 is 51,570 years.

Source:
https://en.wikipedia.org/wiki/Radiocarbon_dating


C-14 has a half-life of 5730 years. Let's figure out how many half lives would pass in 50,000 years. We take 50,000 and divide it by 5730 = 8.72 half-lives. This is fairly close to 9. The answer is B) C-14 levels in a sample are undetectable after approximately nine half-lives.

If the clock has a radius of 15 inches, how many inches of ribbon will terry need to use to surround the clock?

Answers

the circumference is C=2*3.14*r
r=15 inches
C=2*3.14*15=94.20 inches of ribbon 
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