College Algebra CLEP Prep Practice Exam

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What is the slope of the line that goes through the points (3,7) and (5,3)?

-2
-4
1
4

The correct answer is: -4

The slope of a line is calculated by taking the change in y-coordinates over the change in x-coordinates between two points. In this case, the change in y is 3-7=-4 and the change in x is 5-3=2. Therefore, the slope of the line passing through these two points is -4/2 = -2. This means that for every 2 units traveled in the horizontal direction (x), there is a decrease of 4 units in the vertical direction (y). The incorrect options (A), (C), and (D) do not yield the correct slope when using the given points. Option (A), -2, is the negative of the correct answer. Option (C), 1, would have a change in y of 7-3=4 and a change in x of 3-5=-2, resulting