SOLUTION: in the standard (x,y) coordinate plane, point m with coordinates (5,4) is the midpoint of AB, and B has coordinates (7,3). What are the coordinates of A?

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: in the standard (x,y) coordinate plane, point m with coordinates (5,4) is the midpoint of AB, and B has coordinates (7,3). What are the coordinates of A?      Log On


   

Question 426581: in the standard (x,y) coordinate plane, point m with coordinates (5,4) is the midpoint of AB, and B has coordinates (7,3). What are the coordinates of A?
Answer by ewatrrr(24785) About Me  (Show Source):
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Hi

point m with coordinates (5,4) is the midpoint of AB.  Pt B(7,3)

Midpoint Pt(x,y):  ( %28x%5B1%5D+%2B+x%5B2%5D%29%2F2, %28y%5B1%5D+%2B+y%5B2%5D%29%2F2++%29)

 (7+ x)/2 = 5 

     x = 3

 (3 + y)/2 = 4

     y = 5 

 Pt A(3,5)

CHECKING our Answer***  (3+7)/2 = 5   and (5+3)/2=4