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 $(3,-1)$