alleryStart learning →A line has slope four fifths. What is the slope of a line perpendicular to it?
APositive five quarters
BNegative four fifths
CNegative five quarters
DPositive four fifths
Answer & Solution
Correct answer: C. Negative five quarters
1. Perpendicular lines have slopes that are negative reciprocals of one another.
2. Turning four fifths upside down gives five quarters.
3. Changing the sign then gives negative five quarters.
4. Checking the work, four fifths times negative five quarters is negative 1, as perpendicular slopes must be.
_Source: OpenStax College Algebra (CC BY 4.0), section 2.2 Linear Equations in One Variable_
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