Answer:
y = -2x + 16
Step-by-step explanation:
A line perpendicular to y = (1/2)x - 6 would have a slope that is the negative reciprocal of 1/2, that is, a slope of -2. Here the given point is (h, k): (6, 4)
Applying the point-slope formula of the straight line,
y - k = m(x - h), where (h, k) is the point, we get:
y - 4 = -2(x - 6), or
y = 4 - 2x + 12, or
y = -2x + 16
