Question

coordinates of the midpoint of $overline{gh}$ are $m(-2,5)$ and the coordinates of one endpoint are $h(-3,7)$. coordinates of the other endpoint are ($square$, $square$).

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $M(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Let the coordinates of the other endpoint be $G(x,y)$, $H(-3,7)$ and $M(-2,5)$.

Step2: Solve for the x - coordinate

We know that $\frac{x+( - 3)}{2}=-2$. Multiply both sides by 2: $x - 3=-4$. Then add 3 to both sides: $x=-4 + 3=-1$.

Step3: Solve for the y - coordinate

We know that $\frac{y + 7}{2}=5$. Multiply both sides by 2: $y+7 = 10$. Then subtract 7 from both sides: $y=10 - 7 = 3$.

Answer:

$(-1,3)$