# What is the slope of any line perpendicular to the line passing through #(0,2)# and #(3,15)#?

##### 1 Answer

Aug 2, 2018

The slope of any line passing through the given two points is

#### Explanation:

First find the slope of the line passing through the two given points.

where:

Plug in the known values and solve for slope.

The perpendicular slope of any line is the negative reciprocal of the original slope, so that

graph{(y+13/3x)(y-3/13x)=0 [-10, 10, -5, 5]}