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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 (a,0) and (0,2a), where a > 1.  What is the slope of line l?

Answer Choices

Right-o!

Explanation

Choice (A) is correct. Given two points on a line, the slope of the line can be found by dividing the change in the y-coordinates between the points by the corresponding change in the x-coordinates. Hence, since line l passes through the points (a,0) and (0,2a), its slope is change in y-coordinates over change in x-coordinates = ((2 times a) minus 0) over (0 minus a) = (2 times a) over negative a = negative 2.

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