# What is the slope of a line perpendicular to the graph of the equation 5x - 3y =2?

##### 2 Answers

#### Explanation:

Given:

First we convert the equation in the form of

The product of the slopes from a pair of perpendicular lines is given by

Here,

So, the perpendicular line's slope will be

The slope of a line perpendicular to the graph of the given equation is

#### Explanation:

Given:

This is a linear equation in standard form. To determine the slope, convert the equation into slope-intercept form:

where

To convert the standard form to slope-intercept form, solve the standard form for

Subtract

Divide both sides by

The slope is

The slope of a line perpendicular to the line with slope

The product of the slope of one line and the slope of a perpendicular line equals

graph{(5x-3y-2)(y+3/5x)=0 [-10, 10, -5, 5]}