45.1k views
5 votes
What is the slope of a line perpendicular to the line passing through the points P (2,5) and Q (-3,7)?

User Corillian
by
4.2k points

1 Answer

6 votes

Answer:

2/5

Explanation:

perpendicular line means the two lines' slope when multiplied together gives a answer of -1.

hence, we just need to find the slopw of the line connecting the 2 points and form an equation with -1 to get the slope the question wants.

slope of the line PQ:

(7-5)/(-3-2) = -2/5 (slope formula)

slope of the perpendicular line:

-2/5 x slope = -1

slope = (-1)/(-2.5) = 2/5

User Justbeez
by
4.3k points