# How do you find the slope that is perpendicular to the line #2x – 5y = 3#?

##### 2 Answers

See a solution process below:

#### Explanation:

First, this line is in Standard Form for a Linear Equation. The standard form of a linear equation is:

Where, if at all possible,

The slope of an equation in standard form is:

Substituting the values from the equation gives the slope of this line as:

The slope of a perpendicular line is the negative inverse of the slope.

So, if we can the slope of the perpendicular line

Substituting the slope we calculated and calculating the perpendicular slope gives:

The slope of any line perpendicular to the line in the problem will have a slope of:

Slope of perpendicular:

#### Explanation:

Any linear equation in standard form:

has a slope of

has a slope of

The perpendicular to a line with a slope of

has a slope of

has a slope of