College Algebra CLEP Prep Practice Exam

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Prepare for the College Algebra CLEP Test with our comprehensive practice exam. Study with flashcards and multiple choice questions, each offering clues and detailed explanations. Achieve your best score and excel in your exam!

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What is the equation of the line perpendicular to y=3x+2 and passes through the point (4, 2)?

y= -3x+6
y= 3x-6
y= -3x-2
y=3x+6

The correct answer is: y= -3x-2

A line is considered perpendicular when it intersects another line at a 90 degree angle. Therefore, the slope of a perpendicular line to y=3x+2 must be the negative reciprocal of the slope of y=3x+2. In this case, the slope of y=3x+2 is 3, so the slope of the perpendicular line would be -1/3. We can use this information to eliminate options A and B, as they do not have a slope of -1/3. Option D has a positive slope of 3, making it parallel to the given line instead of perpendicular. C is the only remaining option that has the correct slope and also passes through the given point (4,2), thus making it the correct equation of the line perpendicular to y=3x+2 and passing through the point (4,2).