College Algebra CLEP Prep Practice Exam

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What is the equation of the vertical line that passes through the point (-3, 4)?

x = 4
y = -3
x = -3
y = 4

The correct answer is: x = -3

A vertical line is a line that is parallel to the y-axis and does not have a slope because the value of y remains constant for all points on the line. The equation of a vertical line is always in the form of x = a, where a is the x-coordinate of any point on the line. In this case, the given point (-3, 4) has an x-coordinate of -3, so the equation of the vertical line that passes through this point is x = -3. Option A, x = 4, is incorrect because the x-coordinate of the given point is -3, not 4. Option B, y = -3, is incorrect because this would be the equation for a horizontal line passing through the point (-3, -3), not a vertical line passing through (-3, 4). Option D, y = 4