College Algebra CLEP Prep Practice Exam

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Find the slope of the line that is perpendicular to the line 4x + 8 = 0.

  1. -1/4

  2. -4

  3. 4

  4. 1/4

The correct answer is: -1/4

Slope is a measure of the steepness of a line. In this case, the given line 4x + 8 = 0 is in the form y = mx + b where m is the slope. Therefore, the slope of this line is -4. To find the slope of a line perpendicular to this one, we use the fact that perpendicular lines have slopes that are negative reciprocals of each other. In other words, if the given line has a slope of m, the perpendicular line will have a slope of -1/m. So, in this case, the perpendicular line will have a slope of -1/(-4), which simplifies to 1/4. Therefore, option D, 1/4, is the correct answer. Option A, -1/4, is incorrect because it is simply the negative of the

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