College Math CLEP Prep Practice Exam

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What is the slope of the line that is perpendicular to the line y = -4x + 12?

4
-4
-1/4
1/4

The correct answer is: 1/4

The slope of a perpendicular line is the negative reciprocal of the original slope. In this case, the original slope of y = -4x + 12 is -4, therefore the slope of the perpendicular line would be 1/4. Option A, 4, is the reciprocal of the original slope but not the negative reciprocal. Option B, -4, is the original slope and not the negative reciprocal. Option C, -1/4, is the negative reciprocal but not the reciprocal. Therefore, option D, 1/4, is the correct answer.