Question

s(7, 12) and t(17, 0) are the endpoints of a line segment. what is the midpoint m of that line segment? 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, $x_1 = 7,y_1=12,x_2 = 17,y_2 = 0$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{7 + 17}{2}=\frac{24}{2}=12$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{12+0}{2}=\frac{12}{2}=6$.

Answer:

$(12,6)$