College Math CLEP Prep Practice Exam

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What is the slope of the line through the points (-4,2) and (2,7)?

-3/2
-1/2
1/2
3/2

The correct answer is: 1/2

The slope of a line is determined by the change in y-coordinates over the change in x-coordinates. In this case, the change in y is 7-2=5 and the change in x is 2-(-4)=6. So, the slope is 5/6 which is equivalent to 1/2. Option A has a negative sign in front of the fraction which is incorrect since the slope of the line is positive. Option B has a negative numerator which is also incorrect. Option D has a larger numerator than denominator which does not follow the correct slope calculation. Therefore, option C is the correct answer.