College Math CLEP Prep Practice Exam

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What is the equation of the line described by y = 1/2x - 3?

x = 1/2y - 3
y = 1/2x + 3
2y = x - 3
2x = y - 3

The correct answer is: y = 1/2x + 3

The equation y = 1/2x - 3 represents a line with a slope of 1/2 and a y-intercept of -3. The correct answer, B, is the same equation but with the y-intercept written as a positive value of 3. The other options do not have the same slope and/or y-intercept as the given equation, which makes them incorrect. Option A has the slope flipped and the y-intercept in the wrong place. Option C has the slope and y-intercept flipped. Option D has the slope doubled and the y-intercept in the wrong place. Therefore, option B is the only answer that correctly represents the equation of the line described by y = 1/2x - 3.