Question

Given the following points, write the equation of the line that goes through them. ( -12,56), (0,8), and (8,-24).

Answer 1

`y=-4x+8`

Explanation:

step 1

Find the slope

The formula to calculate the slope between two points is equal to

`m=(y2-y1)/(x2-x1)`

take two points from the data

(0,8), and (8,-24).

substitute

`m=(-24-8)/(8-0)`

`m=(-32)/(8)`

`m=-4`

step 2

Find the equation of he line in slope intercept form

`y=mx+b`

we have

`m=-4`

`b=8` ----> the y-intercept is given

substitute

`y=-4x+8`