T is the midpoint of [AB]. Find the coordinates of A. If T is (4,-3) and, B is (-2,3).
1 answer:
Answer:
A(10, -9)
Step-by-step explanation:
The relation between coordinate of point A(Ax, Ay), point B(Bx, By), and midpoint T(Tx, Ty) of segment line AB is expressed by formula:
Ax + Bx = 2Tx
Ay + By = 2Ty
=>
Ax + (-2) = 2 x 4
Ay + 3 =2 x (-3)
=>
Ax - 2 = 8
Ay + 3 = -6
=>
Ax = 8 + 2
Ay = -6 - 3
=>
Ax = 10
Ay = -9
=> A(10, -9)
Hope this helps!
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