College Algebra CLEP Prep Practice Exam

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Prepare for the College Algebra CLEP Test with our comprehensive practice exam. Study with flashcards and multiple choice questions, each offering clues and detailed explanations. Achieve your best score and excel in your exam!

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What is the slope of the line passing through the points (2, 3) and (5, 8)?

-3
3
1/3
-1/3

The correct answer is: 3

The slope, also known as the gradient, is a measure of how steep a line is. It is calculated by dividing the change in the y-coordinates by the change in the x-coordinates between two points on a line. In this case, we can see that for the given points, there is an increase of 5 in the y-coordinate and an increase of 3 in the x-coordinate. This means that the slope of the line is 5/3. Since the given options for the slope are all whole numbers or fractions, we can eliminate options A and D which are negative. This is because the given points have a positive slope. Additionally, option C of 1/3 is incorrect because as we can see, the slope is larger than 1. Therefore, the only correct option is B which has a slope of 5/3.