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Big Ideas Math Geometry, 2014 View details

3. Using Midpoint and Distance Formulas

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Exercise 16 Page 25

Use the Midpoint Formula.

(- 2,2)

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 (- 4,7) and (0,- 3). Let's use these to find the coordinates of the midpoint.

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

SubstitutePoints

Substitute ( - 4,7) & ( 0,- 3)

M(- 4+ 0/2,7+( - 3)/2)

AddNeg

a+(- b)=a-b

M(- 4+0/2,7-3/2)

AddSubTerms

Add and subtract terms

M(- 4/2,4/2)

CalcQuot

Calculate quotient