Question

line m passes through the points (-4, 3) and (-4, 7) what is the slope of the line that is perpedicular to the line m

Answer 1

The slope is 4 and the equation is y = 4x + 18

Explanation:

Okay, so you start by solving for the slope. The formula for slope is

m = y1-y2 over x1-x2 (it looks lke a fraction)

then you plug in your coordinates, so it becomes:

m = 7-3 over -4 - (-4) which then you get your slope as 4, but because it has to be perpendicular, the slope becomes -1/4. this is because the slope has to be the reciprocal and the opposite sign to be perpendicular.

Then, you can continue to create the equation by using point-slope form, which is y - y1 = m (x-x1) (y1 and x1 are from the coordinates btw)

so the point-slope equation is:

y - 3 = -1/4 (x + 4)

y - 3 = -1/4x - 1

+3 +3

y = -1/4x + 2 (this is your equation in slope - intercept form)

I hope this helps!!