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)