Question

What is an equation of the line that passes through the points (0, -8)(0,−8) and (-6, -3)(−6,−3)?

Answer 1

`y=-(5)/(6)x-8`

Explanation:

To find slope we need to do
`(y2-y1)/(x2-x1) \\`

x1= 0 y1= -8

x2= -6 y2= -3

`(-3-(-8))/(-6-0) =(5)/(-6) = -(5)/(6) \\`

Now that we know our slope is -5/6, we need to plug in one of the coordinates we have.

`-8=-(5)/(6)(0)+b\\ -8=b`

Now that we know -8 is b, we plug in the answer into slope intercept form.

`y=-(5)/(6)x-8`