Question

a line segment has the endpoints u(14, 11) and v(10, 1). find the coordinates of its midpoint m. 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, $x_1 = 14$, $y_1=11$, $x_2 = 10$, and $y_2 = 1$.

Step2: Calculate the x - coordinate of the mid - point

$x=\frac{14 + 10}{2}=\frac{24}{2}=12$.

Step3: Calculate the y - coordinate of the mid - point

$y=\frac{11 + 1}{2}=\frac{12}{2}=6$.

Answer:

$(12,6)$