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Chapter 10: Q.28 (page 546)

Find the midpoint of the segment with endpoints -7,5and4,-20.

Short Answer

Expert verified

The coordinate of midpoint is-32,-152.

Step by step solution

01

Step 1. Given Information.

The endpoints are:

-7,5 and 4,-20

02

Step 2. Property used.

Mid-point formula.

x=x1+x22,y=y1+y22

03

Step 3. Calculation.

Let mid-point bex,y.

End-points:-7,5, 4,-20

Find x-coordinate of mid-point.

x=x1+x22=−7+42=−32

Find y-coordinate of mid-point.

y=y1+y22=5−202=−152

Hence, the midpoint is-32,-152.

04

Step 4. Conclusion.

The coordinate of midpoint is -32,-152.

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