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 equation of the line passing through (3, 6) and (1, 5)?

y = 3x + 5
y = 3x - 3
y = 2x + 5
y = 3x + 7

The correct answer is: y = 2x + 5

To find the equation of a line, we use the formula y = mx + b. In this question, we are given two points on the line: (3, 6) and (1, 5). Using the formula, we can calculate the slope, m, by finding the difference in y-coordinates over the difference in x-coordinates. So, m = (6-5)/(3-1) = 1/2. To find the y-intercept, b, we can substitute one of the given points into the formula. We'll use (3, 6): 6 = (1/2)(3) + b b = 6 - 3/2 = 3/2. Therefore, the equation of the line passing through (3, 6) and (1, 5)