# The midpoint of SM is (5, -11). One endpoint is S(3, 5). What are the coordinates of endpoint M?

$M \equiv \left(x , y\right) = M \equiv \left(7 , - 27\right)$

#### Explanation:

mid point is
$S \equiv \left(3 , 5\right)$
$P \equiv \left(5 , - 11\right)$
$M \equiv \left(x , y\right)$

$x - 5 = 5 - 3$
$x - 5 = 2$
$x = 7$

$y - \left(- 11\right) = - 11 - 5$
$y + 11 = - 16$
$y = - 27$

Hence
$M \equiv \left(x , y\right) = M \equiv \left(7 , - 27\right)$