College Algebra CLEP Prep Practice Exam

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Which of the following equations represents a line that is parallel to y=2x+4?

y=-2x+2
y=1/2x+5
y=3x-8
y=-1/2x+2

The correct answer is: y=1/2x+5

A line that is parallel to y=2x+4 will have the same slope, or rate of change, which is 2. This means that the correct equation must have a slope of 2. Option A has a slope of -2, which is the opposite direction of a parallel line. Option C has a slope of 3, which is not equal to 2. Option D has a slope of -1/2, which is the opposite direction and a different magnitude than 2. Option B has a slope of 1/2, which is the same magnitude as 2, but in the opposite direction. Therefore, it is not a parallel line. The correct equation would have to have a slope of 2, which is double the slope of option B.