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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Find the equation of the line that passes through the point (2,-3) and has a slope of -2.

y = 2x – 3
y=(-2/2) x - 3
y = 2x + 3
y = -2x – 3

The correct answer is: y = -2x – 3

The point-slope form of a line is y – y1 = m(x – x1), where m is the slope and (x1, y1) is a point on the line. In this case, (2,-3) represents the point and -2 represents the slope. Plugging these values into the equation gives us y – (-3) = -2(x – 2). Simplifying, we get y + 3 = -2x + 4. Rearranging, we get the equation in standard form as y = -2x – 3. Option A is incorrect because it has a different constant term, -3 instead of -2. Option B is incorrect because it incorrectly divides the slope by 2. Option C is incorrect because it has the same slope but a different constant term. Therefore, the correct option is D, as