College Algebra CLEP Prep Practice Exam

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What is the equation of a line that passes through the point (3,7) and has a slope of -3?

  1. y = -3x + 4

  2. y = -3x + 7

  3. y = 3x + 7

  4. y = 3x - 7

The correct answer is: y = -3x + 7

The equation of a line can be written in the form y = mx + b, where m is the slope and b is the y-intercept. The point-slope form of a line is y - y1 = m(x - x1), where (x1, y1) is a known point on the line. In this case, the point (3,7) is given as the known point and the slope is -3. Plugging these values into the point-slope form, we get y - 7 = -3(x - 3). Simplifying, we get y - 7 = -3x + 9. Adding 7 to both sides, we get y = -3x + 16. Thus, the correct equation is y = -3x + 7. Option A (y = -3x + 4) does

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