Question

(-30, 30) and (16, 18) are the endpoints of a line - segment. what is the mid - point m of that line segment? write the coordinates as decimals or integers.

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 $(x_1,y_1)=(30,30)$ and $(x_2,y_2)=(16,18)$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{30 + 16}{2}=\frac{46}{2}=23$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{30+18}{2}=\frac{48}{2}=24$.

Answer:

$(23,24)$