College Algebra CLEP Prep Practice Exam

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What is the slope of the line perpendicular to the line y = -2x + 1?

-2
-1/2
1/2
2

The correct answer is: 2

The slope of a line perpendicular to a given line is the negative reciprocal of the original line's slope. The original line has a slope of -2, so the perpendicular line must have a slope equal to 1/(-2) = -1/2. Therefore, options A and C are incorrect. Option B is also incorrect because the negative reciprocal of -1/2 is -2, not 1/2. Option D is the only option that is the correct negative reciprocal of the given slope.