Perpendicular to y=1/2-1, x-intercept at4

the desired equation is y = -2x + 8.

Step-by-step explanation:

Given a line with slope 1/2, we find the negative reciprocal of that to obtain the slope of a line perpendicular to the given line:  m = -2.

Recall that at an x-intercept, y = 0.  Here we're told that the x-intercept is (4, 0).  Therefore, y = mx + b becomes 0 = -2(4) + b, or b = 8.

Then the desired equation is y = -2x + 8.

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Step-by-step explanation:

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