Find the midpoint. Please and thanks.

asked Aug 7, 2019 181k views

4 votes

by Mruf

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4 votes

The formula of a midpoint:

$M_(AB)\left((x_A+x_B)/(2),\ (y_A+y_B)/(2)\right)$

We have:

$M(-6,\ 8)\to x_M=-6,\ y_M=8\\A(-2,\ 10)\to x_A=-2,\ y_A=10$

Substitute:

$(-2+x_B)/(2)=-6\qquad|\cdot2\\\\-2+x_B=-12\qquad|+2\\\\x_B=-10\\\\(10+y_B)/(2)=8\qquad|\cdot2\\\\10+y_B=16\qquad|-10\\\\y_B=6$

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