Line p passes through points (5,−3) and (−2, 5) . What is the slope of a line perpendicular to p ?

Step-by-step explanation:

Hi there!

First, find the slope of Line p:

where two points that fall on the line are and

Plug in the given points (5,−3) and (−2, 5):

Therefore, the slope of Line p is .

Perpendicular lines always have slopes that are negative reciprocals, such as 1/2 and -1/2, and 3/4 and -4/3.

Knowing this, the slope of a line perpendicular to Line p would be the negative reciprocal of , which is .

I hope this helps!

step-by-step explanation: 2