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Mathematics > Standard Multiple Choice

Read the following SAT test question and then click on a button to select your answer. 

In the x y-plane, line l passes through the points 0 comma 0and 2 comma 5. Line m is perpendicular to line l. What is the slope of line m?

Answer Choices

Right! (Applause.)

Explanation

Line l passes through the points 0 comma 0and 2 comma 5, so the slope of line l is equal to (5 minus 0) over (2 minus 0) = 5 over 2. Lines l and m are perpendicular, so the slope of line m is equal to the negative reciprocal of the slope of line l. Therefore, the slope of line m is negative 1 over (5 over 2) = negative 2 over 5.

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