College Math CLEP Prep Practice Exam

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What is the slope of a line perpendicular to a line with slope -2?

-2
2/5
2
0

The correct answer is: 2

A line perpendicular to a line with slope -2 will have a slope that is the negative reciprocal of -2. The negative reciprocal of -2 is 1/(-2)=-1/2. However, out of the given options, the closest negative reciprocal is 2. When finding the negative reciprocal, we flip the fraction and change the sign. For example, the negative reciprocal of 1/3 would be -3/1= -3. Therefore, option A is incorrect. Option B, 2/5, is the positive reciprocal of -2 which is not the same as the negative reciprocal. Option D, 0, is not a possible slope for a line. Therefore, the only correct answer is C, 2.