Question

Determine the slope of a line that is perpendicular to the line that goes through the points (10, -12) and (-14, 8).

A) Perpendicular Slope
B) -2
C) 2
D) -1/2

Answer 1

To determine the slope of a line perpendicular to another line, we need to find the negative reciprocal of the slope of the given line. The slope of the line passing through the points (10, -12) and (-14, 8) is 2.

Step-by-step explanation:

To determine the slope of a line perpendicular to another line, we need to find the negative reciprocal of the slope of the given line.

Given the points (10, -12) and (-14, 8), we can calculate the slope of the line passing through them using the formula: slope = (y2 - y1) / (x2 - x1).

After calculating the slope, we can find the negative reciprocal to find the slope of the line perpendicular to it.

In this case, the correct answer is C) 2.