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Big Ideas Math Integrated I, 2016 View details

3. Using Midpoint and Distance Formulas

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Exercise 17 Page 401

Use the Midpoint Formula.

(1,9/2)

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 (- 2,0) and (4,9). Let's use these to find the coordinates of the midpoint.

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

SubstitutePoints

Substitute ( - 2,0) & ( 4,9)

M(- 2+ 4/2,0+ 9/2)

AddTerms

Add terms

M(2/2,9/2)

QuotOne

a/a=1

M(1,9/2)

The midpoint is located at ( 1, 92).