Question

find the other endpoint of the segment with the given midpoint M and endpoint J. J(7,2) and M(1,-2)

Answer 1

The midpoint formula is as follows

$M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Plug in the information we know.

$(1,-2)=(\frac{7+x_2}{2},\frac{2+y_2}{2})$

Solve for $x$

$1=\frac{7+x_2}{2}$

$2=7+x_2$

$x_2=-5$

Solve for $y$

$-2=\frac{2+y_2}{2}$

$-4=2+y_2$

$y_2=-6$

The other endpoint of the segment is $(-5,-6)$

Hope this helps.

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