# What is the slope of any line perpendicular to the line passing through #(0,0)# and #(-1,1)#?

##### 2 Answers

#### Answer:

#### Explanation:

The slope is rise over run,

The slope perpendicular to any line is it’s **negative reciprocal**. The slope of that line is negative one so the perpendicular to it would be

#### Answer:

#### Explanation:

First, we need to find the slope of the line that passes through these two points, then, we can find its reciprocal (opposite, which is perpendicular). Here's the formula for finding a slope with two points:

Label your ordered pairs:

(0, 0)

(-1, 1)

Now, plug-in your data:

Simplify.

m =

Now, let's find its equation by using the point-slope formula:

Distribute:

Add zero to both sides:

If

Credit to Shantelle for correcting an error

https://www.mathsisfun.com/reciprocal.html

https://www.mathsisfun.com/definitions/reciprocal.html

http://www.purplemath.com/modules/strtlneq2.htm