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