Question

1. the endpoints of $overline{cd}$ are $c(1, - 6)$ and $d(7,5)$. find the coordinates of the midpoint $m$.

Explanation:

Step1: Recall mid - point formula

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

Step2: Identify the coordinates

Here $x_1 = 1,y_1=-6,x_2 = 7,y_2 = 5$.

Step3: Calculate the x - coordinate of the mid - point

$x_M=\frac{1 + 7}{2}=\frac{8}{2}=4$.

Step4: Calculate the y - coordinate of the mid - point

$y_M=\frac{-6 + 5}{2}=\frac{-1}{2}=-0.5$.

Answer:

$(4,-0.5)$