Question

Line m passes through the points (-4.3) and (-4.7). What is the slope of the line that is perpendicular to line m?

a) 0
b) Undefined
c) -4
d) 4

Answer 1

The slope of line m, which is vertical passing through two points with the same x-coordinate, is undefined. A line perpendicular to a vertical line is horizontal, thus its slope is 0.

Step-by-step explanation:

The slope of a line passing through two points, such as (-4,3) and (-4,7), can be calculated using the slope formula m = (y2 - y1) / (x2 - x1). However, in this case, since both points have the same x-coordinate, the line is vertical and its slope is undefined. Now, the slope of a line perpendicular to a vertical line is horizontal, which means its slope is 0. Therefore, the correct answer to what is the slope of the line that is perpendicular to line m is (a) 0.