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 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)