What is the equation of the line that crosses through points (-6,0) and (2,-2)?

Find slope using the slope formula.

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

m=(-2-0)/(2+6)

m=-2/8

m= -1/4

Knowing y=mx+b, plug in m.

y=(-x/4)+b

Plug in a coordinate pair to find the b value. (Either works)

-2=(-2/4)+b

-2=-1/2+b

-2+1/2=b

-3/2=b

Plug in the b value to give the final equation.

y=(-x/4)-3/2