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Big Ideas Math Geometry, 2014 View details

3. Using Midpoint and Distance Formulas

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Exercise 15 Page 25

Use the Midpoint Formula.

(5,2)

Practice makes perfect

To find the midpoint, we can use the Midpoint Formula. (x_1+x_2/2,y_1+y_2/2)The coordinates of the given endpoints are (3,- 5) and (7,9). Let's use these to find the coordinates of the midpoint.

M(x_1+x_2/2,y_1+y_2/2)

SubstitutePoints

Substitute ( 3,- 5) & ( 7,9)

M(3+ 7/2,- 5+ 9/2)

AddTerms

Add terms

M(10/2,4/2)

CalcQuot

Calculate quotient

M(5,2)

The midpoint is located at (5,2).