Question

the mid - point of $overline{rs}$ is $m(-0.5, - 4)$. one endpoint is $s(0, - 3)$. find the coordinates of the other endpoint $r$. write the coordinates as decimals or integers. $r=(square,square)$

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 $R=(x,y)$ and $S=(0,-3)$ and $M=(-0.5,-4)$.

Step2: Solve for x - coordinate of R

We know that $\frac{x + 0}{2}=-0.5$. Cross - multiply: $x+0=-0.5\times2$. So, $x=-1$.

Step3: Solve for y - coordinate of R

We know that $\frac{y+( - 3)}{2}=-4$. Cross - multiply: $y - 3=-4\times2$. Then $y-3=-8$. Add 3 to both sides: $y=-8 + 3=-5$.

Answer:

$R=(-1,-5)$