College Algebra CLEP Prep Practice Exam

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Prepare for the College Algebra CLEP exam with our comprehensive quiz. Our engaging questions, hints, and detailed explanations will help ensure you're ready to ace your test and earn college credit faster!

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What is the slope of the line that passes through (−4, −5) and (2, 3)?

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

The correct answer is: -3/2

The other options are incorrect because they are either calculated from the wrong coordinates (-4 and -5 instead of -5 and -5), or they are the inverse values of the correct answer (-2/3 instead of -3/2). Remember that the slope is calculated by taking the difference of the y-coordinates over the difference of the x-coordinates (or rise over run) and the slope of a line is directly related to its inclination or angle. In this case, the slope is negative and with a smaller absolute value than 1, indicating that the line is not very steep. This means that for every 2 units that the line moves up (or down) it also moves 3 units to the right (or left). Therefore, the slope of this line is -3/2.