Question

d is the midpoint of $overline{ce}$. c has coordinates (-9, -6), and d has coordinates (-11, 10). find the coordinates of e

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Let $C(-9,-6)$ be $(x_1,y_1)$ and $E(x,y)$ be $(x_2,y_2)$ and $D(-11,10)$ be the mid - point.

Step2: Solve for x - coordinate of E

We know that $\frac{-9 + x}{2}=-11$. Multiply both sides by 2: $-9 + x=-22$. Then add 9 to both sides: $x=-22 + 9=-13$.

Step3: Solve for y - coordinate of E

We know that $\frac{-6 + y}{2}=10$. Multiply both sides by 2: $-6 + y = 20$. Then add 6 to both sides: $y=20 + 6=26$.

Answer:

$(-13,26)$