What is the midpoint of a segment whose endpoints are (9, -9) and (-3, 7)?

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Answer 1 · 2016-12-02T13:26:56

#(3,-1)#

We need to find the midpoint of #(9,-9) and (-3,7)#

For that, we use the midpoint formula

#color(blue)("Midpoint formula"=(x,y)=((x_1+x_2)/2,(y_1+y_2)/2)#

(#x and y# are the points of the midpoint)

We know that,

#color(orange)((9,-9)=(x_1,y_1)#

#color(orange)((-3,7)=(x_2,y_2)#

So the midpoint is

#rarr((x_1+x_2)/2,(y_1+y_2)/2)#

#rarr((9+(-3))/2,(-9+7)/2)#

#rarr((6)/2,(-2)/2)#

#color(green)(rArr(3,-1)#

Therefore, the midpoint is #(3,-1)#