Interactive exercise. Assistance may be required.

Collect some data from the Midpoints on Grid applet. Use the following table to organize your information.

Use the following table to organize your information.

Click on the blanks to check your answers.

Point A	Point B	x(A)	x(B)	y(A)	y(B)	Average of x(A) and x(B)	Average of y(A) and y(B)	Midpoint
Interactive button. Assistance may be required. _____ (8,-1)	Interactive button. Assistance may be required. _____ (-2, 2)	Interactive button. Assistance may be required. _____ 8	Interactive button. Assistance may be required. _____ -2	Interactive button. Assistance may be required. _____ -1	Interactive button. Assistance may be required. _____ 2	Interactive button. Assistance may be required. _____ 3	Interactive button. Assistance may be required. _____ 0.5	Interactive button. Assistance may be required. _____ (3, 0.5)
Interactive button. Assistance may be required. _____ (4, 1)	Interactive button. Assistance may be required. _____ (1, -2)	Interactive button. Assistance may be required. _____ 4	Interactive button. Assistance may be required. _____ 1	Interactive button. Assistance may be required. _____ 1	Interactive button. Assistance may be required. _____ -2	Interactive button. Assistance may be required. _____ 2.5	Interactive button. Assistance may be required. _____ -0.5	Interactive button. Assistance may be required. _____ (2.5, -0.5)
Interactive button. Assistance may be required. _____ (6, 1)	Interactive button. Assistance may be required. _____ (-2, -1)	Interactive button. Assistance may be required. _____ 6	Interactive button. Assistance may be required. _____ -2	Interactive button. Assistance may be required. _____ 1	Interactive button. Assistance may be required. _____ -1	Interactive button. Assistance may be required. _____ 2	Interactive button. Assistance may be required. _____ 0	Interactive button. Assistance may be required. _____ (2,0)
Interactive button. Assistance may be required. _____ (2, -4)	Interactive button. Assistance may be required. _____ (1, 2)	Interactive button. Assistance may be required. _____ 2	Interactive button. Assistance may be required. _____ 1	Interactive button. Assistance may be required. _____ -4	Interactive button. Assistance may be required. _____ 2	Interactive button. Assistance may be required. _____ 1.5	Interactive button. Assistance may be required. _____ -1	Interactive button. Assistance may be required. _____ (1.5, -1)

How does the data you collected for Midpoint compare to the data you collected for the Average of the x-values and the Average of the y-values? Click here to check your answer.

So it turns out that this is all there is to finding the Midpoint . . . it's the average of the x's and the average of the y's from each endpoint.

The official formula looks like this:

M = ( x sub 1 plus x sub 2 all divided by 2 x₁ + x₂ 2 , y sub 1 plus y sub 2 all divided by 2 y₁ + y₂ 2 )

Note: capital M usually stands for Midpoint while lower case m is usually used for slope.