College Algebra CLEP Prep Practice Exam

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What is the formula for finding the midpoint of a line?

(x1+x2)/2, (y1+y2)/2
(x1+x2)/3, (y1+y2)/3
(x1+x2)+(y1+y2)/2
(x1+x2)+(y1+y2)/3

The correct answer is: (x1+x2)/2, (y1+y2)/2

To find the midpoint of a line, we need to use the formula (x1+x2)/2 and (y1+y2)/2. This is because the midpoint is the average of the x-coordinates and y-coordinates of the two endpoints of the line. Options B, C, and D do not follow this principle and would not give us the correct midpoint. Option B uses (x1+x2)/3 and (y1+y2)/3, which would give us a point closer to the first endpoint rather than the exact midpoint. Options C and D add the two coordinates instead of finding the average, which would greatly alter the position of the midpoint. Therefore, option A is the only correct formula for finding the midpoint of a line.