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 that passes through points (3, -1) and (6, 7)?

y = 4x + 5
y = 4x – 5
y = –4x + 5
y = –4x – 5

The correct answer is: y = 4x + 5

The correct equation is y = 4x + 5. This can be found using the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept. To find the slope, we use the slope formula, (y2 - y1)/(x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the given points. Plugging in (3, -1) and (6, 7), we get a slope of 8/3. Then, we can substitute the slope and one of the given points into the slope-intercept form to solve for b. Using (6, 7), we get 7 = (8/3)(6) + b, which simplifies to b = 5. Therefore, the