Question

the mid - point m of cd has coordinates (-35.5, 0). point d has coordinates (-73, -63). find the coordinates of point c. write the coordinates as decimals or integers. c = ( , )

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 $C$ be $(x,y)$, $M=(-35.5,0)$ and $D=(-73,-63)$.

Step2: Solve for $x$

We know that $\frac{x+( - 73)}{2}=-35.5$. Multiply both sides by 2: $x - 73=-35.5\times2=-71$. Then add 73 to both sides: $x=-71 + 73=2$.

Step3: Solve for $y$

We know that $\frac{y+( - 63)}{2}=0$. Multiply both sides by 2: $y-63 = 0$. Then add 63 to both sides: $y = 63$.

Answer:

$(2,63)$