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Chapter 8: Q11. (page 414)

Find the midpoint of line segment with endpoints at given coordinates -5,3and-3,-7.

Short Answer

Expert verified

The coordinates of midpoint of the line segment are-4,-2.

Step by step solution

01

Step 1. Write down the given information.

The given line segment with end-points has coordinates -5,3and-3,-7.

02

Step 2. Concept used.

If a line segment has end-points at x1,y1andx2,y2 then the midpoint of the segment has coordinates x1+x22,y1+y22.

03

Step 3. Calculation.

The coordinates of the midpoint are evaluated using the points -5,3and-3,-7.

Midpoint=x1+x22,y1+y22=−5−32,3−72=−82,−42=−4,−2
04

Step 4. Conclusion.

The coordinates of midpoint of the line segment are -4,-2.

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