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Big Ideas Math Geometry, 2014 View details

3. Using Midpoint and Distance Formulas

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Exercise 18 Page 25

Use the Midpoint Formula.

(- 6,2)

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 (- 8,- 6) and (- 4,10). Let's use these to find the coordinates of the midpoint.

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

SubstitutePoints

Substitute ( - 8,- 6) & ( - 4,10)

M(- 8+( - 4)/2,- 6+ 10/2)

AddNeg

a+(- b)=a-b

M(- 8-4/2,- 6+10/2)

AddSubTerms

Add and subtract terms

M(- 12/2,4/2)

QuotOne

a/a=1