Question

A line passes through the point (-9,-4) and has a slope of -2/3 . write an equation in slope intercept form for this line

Answer 1

`y=-0.667x+-10`

Explanation:

Given the following question:

Point A = (-9, -4), (x1, y1)
Point B = (-6, -6), (x2, y2)


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

`m=(-6--4)/(-6--9) =(-2)/(3)`

`m=(-2)/(3)`

Write in slope intercept form:


`y=mx+b`

`m=(-2)/(3)=-2/3=-0.667`

`y=-4`

`x=-9`

`-4=-0.667*-9+b`

`-0.667*-9=6`

`b=-10`

`y=-0.667x+-10`

Hope this helps.