Answer: Choice D) -2x+2y = -8
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Step-by-step explanation:
If we plug in y = 0 and solve for x, we'll get the x intercept.
Doing so for choice A has us get
4x+y = 8
4x+0 = 8
4x = 8
x = 8/4
x = 2
So the x intercept is 2. We can rule out choice A
Through similar steps, choice B has an x intercept of x = -2, so we can rule that out as well.
Choice C leads to x = -4, so that's not the answer either.
Choice D has an x intercept of x = 4 since,
-2x+2y = -8
-2(4)+2(0) = -8
-8+0 = -8
-8 = -8
So that confirms choice D is the answer.