College Algebra CLEP Prep Practice Exam

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What is the equation of the line that passes through the points (2, 7) and (-3, 4)?

  1. y = 1/5x + 3

  2. y = 3/5x - 7

  3. y = -1/5x + 13

  4. y = -3/5x - 2

The correct answer is: y = -1/5x + 13

The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept. To find the slope, we use the formula m = (y2-y1)/(x2-x1), where (x1,y1) and (x2,y2) are the coordinates of the two given points. In this case, m = (4-7)/(-3-2) = -3/-5 = 3/5. To find the y-intercept, we use the point-slope form of a line, which is y-y1 = m(x-x1). Using the point (2,7), we have y-7 = (3/5)(x-2) => y-7 = 3/5x - 6/5 => y = 3/5x + 7

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