# What is the slope of the line perpendicular to #y=4/17x+7 #?

##### 1 Answer

Feb 1, 2016

slope

#### Explanation:

Recall that when a line is perpendicular to another line, its slope is the **negative reciprocal** of the slope of the other line.

To find the negative reciprocal:

Note that you can also multiply the whole fraction by

Thus:

#4/17color(red)(rArr)17/4color(red)(rArr)-1*17/4color(red)(rArr)-17/4#

OR

#4/17color(red)(rArr)-1*4/17color(red)(rArr)-4/17color(red)(rArr)-17/4#