Question

cd has endpoints at c(7.8, -5.2) and d(9.8, -9.1). find the midpoint m of cd. write the coordinates as decimals or integers. m = ( , )

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $M=(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Here $x_1 = 7.8$, $y_1=-5.2$, $x_2 = 9.8$, $y_2=-9.1$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{7.8 + 9.8}{2}=\frac{17.6}{2}=8.8$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{-5.2+( - 9.1)}{2}=\frac{-5.2-9.1}{2}=\frac{-14.3}{2}=-7.15$.

Answer:

$(8.8,-7.15)$