Question

a(4, 3) and c(2, 11) are the endpoints of a line segment. what is the mid - point 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, $A(4,3)$ means $x_1 = 4,y_1=3$ and $C(2,11)$ means $x_2 = 2,y_2 = 11$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{4 + 2}{2}=\frac{6}{2}=3$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{3+11}{2}=\frac{14}{2}=7$.

Answer:

$(3,7)$