Question

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

Answer 1

Answer:

$y=3x+9$

Step-by-step explanation:

step 1

Find the slope

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

$m=\frac{y2-y1}{x2-x1}$

take the points

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

substitute in the formula

$m=\frac{0+15}{-3+8}$

$m=\frac{15}{5}$

$m=3$

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

$y=3x+9$