College Algebra CLEP Prep Practice Exam

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What is the slope of the line that is perpendicular to the line with equation y = –3x + 6?

-3
0
3
6

The correct answer is: 3

A -3 is the slope of the given line, y = -3x + 6, not the perpendicular line. In order for two lines to be perpendicular, their slopes must be negative reciprocals. B: 0 is the slope of a horizontal line, and the perpendicular line must be a vertical line, so this slope is also incorrect. D: 6 is the y-intercept of the given line, but it does not represent the slope. The slope of the perpendicular line can be found by flipping the sign of the slope of the given line and taking the negative reciprocal. In this case, the slope of the perpendicular line would be 1/3.