Question

$overline{st}$ has endpoints at $s(45, 76)$ and $t(18, - 46)$. find the midpoint $m$ of $overline{st}$. write the coordinates as decimals or integers. $m=(square,square)$

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $M=(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Here $x_1 = 45,y_1=76,x_2 = 18,y_2=-46$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{45 + 18}{2}=\frac{63}{2}=31.5$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{76+( - 46)}{2}=\frac{76 - 46}{2}=\frac{30}{2}=15$.

Answer:

$(31.5,15)$