College Algebra CLEP Prep Practice 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