# What is the slope of a line perpendicular to #x+2y=7#?

##### 1 Answer

Jul 6, 2018

**The slope perpendicular to the equation is 2.**

#### Explanation:

First, find the slope of the equation by setting it into slope-intercept form,

Subtract

Divide both sides by

We know that the slope of a slope-intercept equation is the value multiplied by

Now to find the slope perpendicular to the equation, we find the negative reciprocal, or switching the sign and doing

So:

Therefore, **the slope perpendicular to the equation is 2.**

Hope this helps!