What is the slope of a line perpendicular to the line 2x + 3y = 20?

1 Answer
1s2s2p
Feb 9, 2018

#"gradient"=-2/3#

Explanation:

We must make #y# the subject of the equation to find the gradient, since #y=mx+c# and #m# is the gradient.

#2x+3y=20#

#3y=20-2x#

#y=20/3-(2x)/3#

#y=-(2x)/3-20/3#
#y=mx+c#

Since #m# is represented by #-2/3#, and #m# is the gradient, the gradient is #-2/3#

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