Question

"What are the intercepts for the equation? Select all that apply. 4x+3y=-12

(-3,0)
(0, -4)
(3, -0)
(0, 4)"

Answer 1

The intercepts for the equation 4x+3y=-12 are (-3,0) and (0,4).

Step-by-step explanation:

The intercepts for the equation 4x+3y=-12 are (-3,0) and (0,4).

To find the x-intercept, we set y=0 and solve for x: 4x+3(0)=-12 → 4x=-12 → x=-3.

Therefore, the x-intercept is -3.

To find the y-intercept, we set x=0 and solve for y: 4(0)+3y=-12 → 3y=-12 → y=4.

Therefore, the y-intercept is 4.