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EXAMPLE 3 Use the Midpoint Formula a. FIND MIDPOINT The endpoints of RS are R(1,–3) and S(4, 2). Find the coordinates of the midpoint M.

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EXAMPLE 3 Use the Midpoint Formula SOLUTION a. FIND MIDPOINT Use the Midpoint Formula. 2 5 1 + 4 – 3 + 2 = , M – 1 The coordinates of the midpoint M are 1 , – 5 2 ANSWER

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EXAMPLE 3 Use the Midpoint Formula b. FIND ENDPOINT The midpoint of JK is M(2, 1). One endpoint is J(1, 4). Find the coordinates of endpoint K. FIND ENDPOINT Let (x, y) be the coordinates of endpoint K. Use the Midpoint Formula. STEP 1 Find x. STEP 2 Find y. 1+ x 2 = 4+ y 1 2 = 1 + x = 4 4 + y = 2 x = 3 y = – 2 The coordinates of endpoint K are (3, – 2). ANSWER

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**( ) GUIDED PRACTICE for Example 3**

3. The endpoints of AB are A(1, 2) and B(7, 8).Find the coordinates of the midpoint M. SOLUTION Use the midpoint formula. ( ) 1 + 7 2 2 + 8 , M = M (4, 5) ANSWER The Coordinates of the midpoint M are (4,5).

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GUIDED PRACTICE for Example 3 4. The midpoint of VW is M(– 1, – 2). One endpoint is W(4, 4). Find the coordinates of endpoint V. SOLUTION Let (x, y) be the coordinates of endpoint V. Use the Midpoint Formula. STEP 1 Find x. STEP 2 Find y. 4+ x – 1 2 = 4+ y – 2 2 = 4 + x = – 2 4 + y = – 4 x = – 6 y = – 8 ANSWER The coordinates of endpoint V is (– 6, – 8)

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