Gear up for success on the College Algebra CLEP exam with our comprehensive Prep Practice Exam! Whether you're a math whiz or need a little extra support, our resources are here to help you excel and earn college credit.

Practice this question and more.


Find the equation of the line which passes through (2,3) and is perpendicular to the line 3x + 4y = 8.

  1. y + x = 5

  2. y - x = 5

  3. y = -3x - 4

  4. y = 3x - 4

The correct answer is: y - x = 5

A and D are both incorrect because they have a slope of 1/3, which is the same slope as the given line. This means they are not perpendicular to the given line. Option C is also incorrect since it has the same slope as the given line and would result in parallel lines. The correct answer is B because it has a slope of -1/3, which is the negative reciprocal of the given line's slope, making it perpendicular to the given line. Additionally, B satisfies the given point (2,3) as shown by the equation y - x = 5 3 - 2 = 5.