What is the slope of a line that is perpendicular to a line with a slope of #-3/2#?

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Answer 1 · 2018-05-04T23:26:30

#2/3#

Perpendicular slopes are opposite reciprocals of one another.

Opposites: put a negative sign in front of one number to find its opposite

Examples:

#6 rarr -6#

#-2/3 rarr -(-2/3) rarr 2/3#

Thus, the opposite of #-3/2# is #3/2#

Reciprocals: flip the numerator and denominator of the number to find its reciprocal

Examples:

#-5 rarr (-5)/1 rarr 1/(-5) rarr -1/5#

#3/4 rarr 4/3#

The reciprocal of #3/2# is #2/3#