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 that passes through the points (2,4) and (6,14)?

y = 2x + 2
y = 4x + 2
y = 2x + 4
y = 4x + 4

The correct answer is: y = 4x + 2

The equation of a line can be written in the form y = mx + b, where m is the slope of the line and b is the y-intercept. When given two points on a line, we can use the slope formula to find the slope of the line. In this case, the points (2,4) and (6,14) can be plugged into the formula m = (y2 - y1)/(x2 - x1). Doing so, we get m = (14 - 4)/(6 - 2) = 10/4 = 5/2. From this, we know that the slope of the line is 5/2. Now, to find the y-intercept, we can choose either of the given points and plug it into the equation y = mx + b. Let's choose (2,4) and solve