Question

a line segment has the endpoints t(17.2, 4.1) and u(13.4, 1.2). find the coordinates of its midpoint m. write the coordinates as decimals or integers. m = ( , )

Explanation:

Step1: Recall mid - point formula

For two - dimensional points $(x_1,y_1)$ and $(x_2,y_2)$, the mid - point $(x_m,y_m)$ has coordinates $x_m=\frac{x_1 + x_2}{2}$ and $y_m=\frac{y_1 + y_2}{2}$. Here $x_1 = 17.2$, $y_1=4.1$, $x_2 = 13.4$, $y_2 = 1.2$.

Step2: Calculate x - coordinate of mid - point

$x_m=\frac{17.2+13.4}{2}=\frac{30.6}{2}=15.3$

Step3: Calculate y - coordinate of mid - point

$y_m=\frac{4.1 + 1.2}{2}=\frac{5.3}{2}=2.65$

Answer:

$(15.3,2.65)$