Question

If the slope of a line is m = -7, find the slope of the lines that are parallel and perpendicular to the line.

Answer 1

Parallel: m = -7

Perpendicular: 1/7

Explanation:

The question is asking us to find the slope of the lines that are parallel and perpendicular to the one whose slope is -7.

Main Idea: Parallel lines have equal slopes; perpendicular lines have slopes that are opposite reciprocals.

The slope of the line that's parallel to the one whose slope is -7 is also -7.

The one that's perpendicular to it is the opposite reciprocal of -7, which is 1/7.

Therefore, this is the answer.

Answer 2

For the line parallel to the line it has a gradient of -7 and the one perpendicular to the line has a gradient of 1/7.