Find the point slope equation for the line that passes through the points (-3,2) and (2,12). use the first point in your equation

y+2=-3(x+3)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-2)=-3(x-(-3))

y+2=-3(x+3)

y+2=-3(x+3)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-2)=-3(x-(-3))

y+2=-3(x+3)

Step-by-step explanation:

now use point slope formula

D. (-9,-6)

Step-by-step explanation:

Use the given slope and point to solve for y using the point-slope equation.

y-y = m(x - x)

m= 2/3  (-3, -2)

y + 2 = 2/3(x + 3)

y + 2 = 2/3x + 2

y = 2/3x

Then plug in the x's in the points that you can choose from. If the y equals the y in the given point that is the answer.

( 3,4)      y = 2/3(3) = 2

( 5,7)      y = 2/3(5) = 10/3

( -8, -4)   y = 2/3(-8) = - 16/3

( -9, -6)    y = 2/3(-9) = -6

D. (-9,-6)

Step-by-step explanation:

Use the given slope and point to solve for y using the point-slope equation.

y-y = m(x - x)

m= 2/3  (-3, -2)

y + 2 = 2/3(x + 3)

y + 2 = 2/3x + 2

y = 2/3x

Then plug in the x's in the points that you can choose from. If the y equals the y in the given point that is the answer.

( 3,4)      y = 2/3(3) = 2

( 5,7)      y = 2/3(5) = 10/3

( -8, -4)   y = 2/3(-8) = - 16/3

( -9, -6)    y = 2/3(-9) = -6

(1) y intercept= 4

and equation of line

y= 2x/3 + 4

(1) y intercept= 4

and equation of line

y= 2x/3 + 4

a) x = -3

b) y = 9

Step-by-step explanation:

a) For a line to have and undefined slope, it must be horizontal, because the change in y would be 1, and the change in x will be 0. To find slope, you must divide the change in y by the change in x, and that would be 1/0 which is undefined because you can't divide by 0.

So if you were to graph a horizontal line going through ( -3, 2 ), you would see that there is no slope because the change in y over the change in x is 1/0 which is undefined.

This line would be x=-3

b) For a line to have slope 0, it must be vertical because the change in y would be 0, and the change in x would be 1. Just like in a), to find slope, you must divide the change in y by the change in x, and that would be 0/1 which is 0

For a line to pass through ( -4,9 ) it must be horizontal and you can see that the change in y over the change in x would be 0/1 which is 0, after graphing it.

This line is x = 9

a) x = -3

b) y = 9

Step-by-step explanation:

a) For a line to have and undefined slope, it must be horizontal, because the change in y would be 1, and the change in x will be 0. To find slope, you must divide the change in y by the change in x, and that would be 1/0 which is undefined because you can't divide by 0.

So if you were to graph a horizontal line going through ( -3, 2 ), you would see that there is no slope because the change in y over the change in x is 1/0 which is undefined.

This line would be x=-3

b) For a line to have slope 0, it must be vertical because the change in y would be 0, and the change in x would be 1. Just like in a), to find slope, you must divide the change in y by the change in x, and that would be 0/1 which is 0

For a line to pass through ( -4,9 ) it must be horizontal and you can see that the change in y over the change in x would be 0/1 which is 0, after graphing it.

This line is x = 9