# What is the equation of the line that passes through #(-1,1) # and is perpendicular to the line that passes through the following points: #(13,-1),(8,4) #?

##### 2 Answers

See a solution process below:

#### Explanation:

First, we need to find the slope of the for the two points in the problem. The slope can be found by using the formula:

Where

Substituting the values from the points in the problem gives:

Let's call the slope for the line perpendicular to this

The rule of perpendicular slopes is:

Substituting the slope we calculated gives:

We can now use the point-slope formula to write an equation for the line. The point-slope form of a linear equation is:

Where

Substituting the slope we calculated and the values from the point in the problem gives:

We can also use the slope-intercept formula. The slope-intercept form of a linear equation is:

Where

Substituting the slope we calculated gives:

We can now substitute the values from the point in the problem for

Substituting this into the formula with the slope gives:

**The equation of the line is**

#### Explanation:

The slope of the line passing through

The product of slopes of two perpendicular lines is

through

The equation of the line passing through

The equation of the line is