4x - 2y = -12
To find the x and y intercepts, plug in 0 for y (if solving for x intercept) and plug in 0 for x (if solving for y intercept) and solve. That will give you the x and y intercepts.
Let's solve for the x intercept first, so plug in 0 for y. Anything multiplied by 0 is equal to 0, so after plugging in 0 for y you can take -2y out of the problem (because it is now 0). Your new equation will look like this:
4x = -12
Divide both sides of the equation by 4 to isolate the variable x.
x = -3
Your x intercept is at (-3, 0). Based on the answers, your answer should be D because that is the only answer with an x intercept of -3. Now let's solve for the y intercept just to be safe and make sure we're correct.
Plug in 0 for x; your equation should now look like this:
-2y = -12
Divide both sides of the equation by -2 to isolate the variable y.
y = 6
Your y intercept is (0, 6). Based on the x and y intercepts we found, your answer should be D because the x intercept is -3 and the y intercept is 6.
D) The x intercept is (-3, 0) and the y intercept is (0, 6).
