College Algebra CLEP Prep Practice Exam

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Find the equation of the line perpendicular to the line y = 5x - 2 and passes through the point (1,2).

y = -5x + 7
y = -6x + 3
y = -4x + 7
y = -5x + 6

The correct answer is: y = -6x + 3

The equation y = -6x + 3 represents a line that is perpendicular to the given line y = 5x - 2. This is because when two lines are perpendicular, their slopes are negative reciprocals of each other. The slope of the given line is 5, so the slope of the perpendicular line would be -1/5, which is represented as -6x in the equation y = -6x + 3. Additionally, the point (1,2) lies on the line y = -6x + 3, satisfying the requirement that the line passes through (1,2). The other options are incorrect because they do not have a slope of -1/5 and/or do not pass through the point (1,2).