College Algebra CLEP Prep Practice Exam

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What is the equation of the line perpendicular to y = -4x + 6 with a slope of 4?

y = -4x - 6
y = 4x - 10
y = 4x + 6
y = -4x + 10

The correct answer is: y = 4x + 6

A line perpendicular to y = -4x + 6 must have a slope that is the negative reciprocal of -4. The negative reciprocal of -4 is 1/4, so the equation of the perpendicular line would be y = 1/4x + b. In order for the slope to be 4, b must be 6. Therefore, the equation of the perpendicular line is y = 4x + 6.