College Algebra CLEP Prep Practice Exam

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What is the equation of the line that passes through the points (0,-3) and (7,-8)?

y = 7x + 3
y = (-7/7)x - 3
y = -7x – 3
y = -7x + 3

The correct answer is: y = -7x – 3

The correct equation is y = -7x - 3. This is because when finding the slope of the line, we use the formula (y2-y1)/(x2-x1) where (x1,y1) and (x2,y2) are the coordinates of the two points on the line. Plugging in the values from the given points, we get -8-(-3)/(7-0) = -5/7 as the slope. Then, using the point-slope form of a line, we get y - (-3) = -5/7(x - 0). Simplifying, we get y = -5/7x - 3, which is the same as y = -7x - 3. The other options are incorrect because they do not use the correct slope and/or y-intercept values obtained from the given points.