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 the points (0,-3) and (7,-8)?

y = 7x + 3
y = (-7/7)x - 3
y = -7x – 3
y = -7x + 3

The correct answer is: y = -7x – 3

The correct equation is y = -7x - 3. This is because when finding the slope of the line, we use the formula (y2-y1)/(x2-x1) where (x1,y1) and (x2,y2) are the coordinates of the two points on the line. Plugging in the values from the given points, we get -8-(-3)/(7-0) = -5/7 as the slope. Then, using the point-slope form of a line, we get y - (-3) = -5/7(x - 0). Simplifying, we get y = -5/7x - 3, which is the same as y = -7x - 3. The other options are incorrect because they do not use the correct slope and/or y-intercept values obtained from the given points.