Find the intercepts for the graph of the equation. -2x - 2y = 10

Both the x and y intercepts are -5.

Step-by-step explanation:

To find the y-intercept, rearrange to y-intercept form: y = mx + b

-2x - 2y = 10

Isolate y.

-2y = 2x + 10  <= divide both sides by -2

y = -x - 5

The b value, -5, is the y-intercept.

(0, -5)

To find the x-intercept, substitute y for 0.

-2x - 2y = 10

-2x - 2(0) = 10

Simplify and isolate x.

-2x - 0 = 10

-2x = 10

x = -5

(-5, 0)