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The midpoint of AB is M(6,3) if the coordinates of A are (7,4), what are the coordinates of B

User Mgalic
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1 Answer

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M = (6, 3)

A = (7,4)

B = (x,y)

Formula

Mx = (x1 + x2) / 2

My = (y1 + y2) / 2

Solve for x2 and y2

x2 = 2Mx - x1

y2 = 2My - y1

Substitution

x2 = 2(6) - 7

y2 = 2(3) - 4

Simplification

x2 = 12 - 7

y2 = 6 - 4

Result

x2 = 5

y2 = 2

Conclusion

The coordinates of B are (5,2)

User Mle
by
3.8k points