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 (3,7) and (10,5)?

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

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

The equation of a line is typically written in the form y = mx + b, where m is the slope of the line and b is the y-intercept. To find the equation of the line passing through two points, we first need to calculate the slope using the formula (y2 - y1)/(x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points. In this case, using the given points (3,7) and (10,5), we have a slope of (5-7)/(10-3) = -2/7. From there, we can plug in any of the given points into the equation y = mx + b to find the value of b. Using (3,7), we get 7 = -2/7 * 3 +