172,472 views
43 votes
43 votes
18
AB has endpoint A(-2,3) and midpoint M(4,6).
Find the coordinates (x, y) of B.

User Konsol Labapen
by
2.9k points

1 Answer

23 votes
23 votes

Answer:

B = (10, 9 )

Explanation:

Using the midpoint formula

M = (
image,
image )

with (x₁, y₁ ) = A(- 2, 3) and (x₂, y₂ ) = B(x, y) , then equate to the x and y coordinates of the midpoint M(4, 6)


image = 4 ( multiply both sides by 2 )

- 2 + x = 8 ( add 2 to both sides )

x = 10

and


image = 6 ( multiply both sides by 2 )

3 + y = 12 ( subtract 3 from both sides )

y = 9

Then B = (10, 9 )

User Jakub Kotowski
by
3.2k points
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