What is the slope of the line perpendicular to # y=7/6x -3 #?

1 Answer
Nov 29, 2015

#-6/7#

Explanation:

The slope of a perpendicular line is going to be the negative reciprocal of the original line. To find the slope of the given line, simply look at the quantity being multiplied to the #x# term. Thus, it is #7/6#.

Now, you need to find the negative reciprocal. First, find the reciprocal. The reciprocal of #7/6# is #6/7# (just flip the fraction. A number multiplied by its reciprocal should equal #1#).

Then, negate it. #6/7# multiplied by #-1# is #-6/7# And there you have it!