The midpoint is the point (coordinates) that is exactly half-way between both points. Since each point has an x-coordinate and a y-coordinate, the midpoint will have an x- and a y-coordinate. Find the average of the x-coordinates, and the average of the y-coordinates:

x-coordinates: (-3 + 4)/2 = 1/2

y-coordinates: (6 + -4)/2 = 2/2 = 1. So the x-coordinate for the midpoint is -1/2, and the y-coordinate for the midpoint is 1. The midpoint between (-3,6) and (4,-4) = (1/2, 1)

For practice, try to find the midpoint between (5,1) and (-5,6).

John W. | Math and Physics Tutoring Math and Physics Tutoring

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In order to find the mid point you need to first realize that you can treat the x and y separately. Then it is just a matter of finding the value halfe way between the x values of the coordinates and the value half way between the y values. This just amount to the average. So for for the x value it will be (x1+x2)/2 and for the y value (y1+y2)/2. Putting it together you will get ( (x1+x2)/2 , (y1+y2)/2 ).

So for your question you will have ( (-3 + 4)/2 , (6+(-4))/2 ) = ( 1/2 , 2/2) = ( 1/2 , 1).