College Algebra CLEP Prep Practice Exam

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What is the slope of the line that is perpendicular to the line 4x - 8y = 12?

8/4
-4/8
4/8
-8/4

The correct answer is: -8/4

To find the slope of perpendicular lines, we use the formula -1/m, where m is the slope of the given line. In this case, the slope of the given line is 4/8 or 1/2. So the slope of the line perpendicular to it would be -1/(1/2) which simplifies to -2. Therefore, option D (-8/4) is the correct answer. Option A 8/4 is incorrect because this is the slope of the given line, not its perpendicular line. Option B: -4/8 is incorrect because it is not the correct formula for finding the slope of perpendicular lines. Option C: 4/8 is incorrect because it is the slope of the given line, not its perpendicular line.