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The midpoint of line segment AB is M(3,-1). If the coordinates of A(8,4), what are the coordinates of B?

The midpoint of line segment AB is M(3,-1). If the coordinates of A(8,4), what are-example-1
User Dmestrovic
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1 Answer

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17 votes

The coordinates of B are (-2 , 9)

Explanation:

A (8, 4)

M (3 , -1)

To calculate a midpoint you have to add the corresponding coordinates of each point and divide them by 2

(Ax + Bx) / 2 = Mx

(8 + Bx) / 2 = 3

8 + Bx = 3 * 2

Bx = 6 - 8

Bx = -2

(Ay + By) / 2 = My

( -1 + By) / 2 = 4

-1 + By = 4 * 2

By = 8 + 1

By = 9

The coordinates of B are (-2 , 9)

User Karthik SWOT
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