College Algebra CLEP Prep Practice Exam

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Find the slope of the line that is perpendicular to 2x - 3y = 6

-2/3
-3
2/3
3

The correct answer is: -2/3

The slope of the line perpendicular to 2x - 3y = 6 will have an opposite reciprocal slope. In other words, if the original slope is -3/2, then the perpendicular slope will be 2/3. This is because when two perpendicular lines intersect, their slopes will multiply to give -1. Therefore, the only option that fits this criteria is A -2/3. Options B, C, and D do not have the correct relationship to the original slope of the line given in the equation. Thus, they are incorrect.