Question

determine the coordinates of the midpoint of line segment ab with endpoints a(5,11) and b(17,3).

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 $x_1 = 5,y_1=11,x_2 = 17,y_2 = 3$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{5 + 17}{2}=\frac{22}{2}=11$.

Step3: Calculate y - coordinate of mid - point

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

Answer:

$(11,7)$