138k views
5 votes
A line has a slope of - 7.

-
(a) What is the slope of the line parallel to it?
(b) What is the slope of the line perpendicular to it?


I need help

1 Answer

11 votes

Answer:

(a) m = -7

(b) m = 1/7

Explanation:

Since parallel lines never overlap, the slopes (m) must be equal. Therefore, a parallel line to a line with a slope of (m = -7) must also have a slope of (m = -7).

Perpendicular lines run opposite of parallel lines. As a result, the sign of the perpendicular slope must be the opposite. Since this slope is negative, the perpendicular slope must be positive. The actual numerical value of a perpendicular slope is equal to one over the slope. Therefore, if a line has a slope of (m = -7), the perpendicular line's slope must be (m = 1/7).

User Ferdinand
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories