Question

uv has a midpoint at m(-13, -4.5). point v is at (-9, -18). find the coordinates of point u. write the coordinates as decimals or integers. u = ( , )

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 point $U$ be $(x,y)$ and point $V(-9,-18)$ and mid - point $M(-13,-4.5)$.

Step2: Solve for the x - coordinate of U

We have $\frac{x+( - 9)}{2}=-13$. First, multiply both sides by 2: $x - 9=-26$. Then add 9 to both sides: $x=-26 + 9=-17$.

Step3: Solve for the y - coordinate of U

We have $\frac{y+( - 18)}{2}=-4.5$. Multiply both sides by 2: $y-18=-9$. Then add 18 to both sides: $y=-9 + 18 = 9$.

Answer:

$U=(-17,9)$