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

Answer 1

Hazel Anglin

#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#

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Answer 2

Isaiah Anthony

The slope of a line that is perpendicular to a line with a slope of -3/2 is the negative reciprocal of -3/2. Therefore, the slope of the perpendicular line is 2/3.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.