Question

What would be the equation containing the points (-8,-15),(-3,0),(2,15)

Answer 1

`y=3x+9`

Explanation:

step 1

Find the slope

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

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

take the points

(-8,-15),(-3,0)

substitute in the formula

`m=(0+15)/(-3+8)`

`m=(15)/(5)`

`m=3`

step 2

Find the equation in point slope form

`y-y1=m(x-x1)`

we have

`m=3`

`point\ (-3,0)`

substitute

`y-0=3(x+3)`

step 3

Convert to slope intercept form

`y=mx+b`

`y-0=3(x+3)`

apply distributive property right side

`y=3x+9`