Answer:
y = (-1/8)x + 10.5
Explanation:
The given equation is y = 8x -1. The slope is 8.
Any line perpendicular to the given equation/line has a slope which is the negative reciprocal of 8: That would be -1/8.
We'll use the point-slope formula of a straight line to come up with a formula for this specific problem: y - k = m(x - h), where (h, k) is the point in question and m is the slope.
Here we have y - 10 = (-1/8)(x - 4). This is complete in itself, But you could also present it in more compact form, as follows:
Add 10 to both sides. We get y = (-1/8)(x - 4) + 10.
Perform the indicated mult.: y = (-1/8)x + 1/2 + 10, or
y = (-1/8)x + 10.5