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Home > GC > Chapter 7 > Lesson 7.1.3 > Problem 7-27

7-27.

Remember that a midpoint of a line segment is the point that divides the segment into two segments of equal length. On graph paper, plot the points and . Where is the midpoint if ? Explain how you found your answer.  7-29 HW eTool (Desmos).  Homework Help ✎

Plot the points at their given coordinates.

Divide the length by two in order to find the length of and .

To find the coordinates of the midpoint, take the coordinates of either Point or Point and add or subtract, respectively, the length of and to the -value.
Check your answer by placing the point at the coordinates you found.

Because the -values of the two points are the same, the length of the segment is equal to the difference between the -values of the two points.

Use the eTool below to model the problem.
Click the link at right for the full version of the eTool: CCG 7-29 HW eTool