Problem

The midpoint of AB is M(4,0). If the coordinates of A are (6,4), what are the coordinates of B ?

Answer

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Answer

Solve for xB and yB: xB=2 and yB=4.

Steps

Step 1 :Use the midpoint formula: M=(xA+xB2,yA+yB2).

Step 2 :Substitute the given values: 4=6+xB2 and 0=4+yB2.

Step 3 :Solve for xB and yB: xB=2 and yB=4.

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