Question

a line segment has the endpoints u(-3.8, 2.7) and v(-4.2, -12.7). find the coordinates of its midpoint m. write the coordinates as decimals or integers. m = ( , )

Explanation:

Step1: Calculate x - coordinate of mid - point

The formula for the x - coordinate of the mid - point of a line segment with endpoints $(x_1,y_1)$ and $(x_2,y_2)$ is $x=\frac{x_1 + x_2}{2}$. Here, $x_1=-3.8$ and $x_2=-4.2$. So, $x=\frac{-3.8+( - 4.2)}{2}=\frac{-3.8 - 4.2}{2}=\frac{-8}{2}=-4$.

Step2: Calculate y - coordinate of mid - point

The formula for the y - coordinate of the mid - point of a line segment with endpoints $(x_1,y_1)$ and $(x_2,y_2)$ is $y=\frac{y_1 + y_2}{2}$. Here, $y_1 = 2.7$ and $y_2=-12.7$. So, $y=\frac{2.7+( - 12.7)}{2}=\frac{2.7-12.7}{2}=\frac{-10}{2}=-5$.

Answer:

$(-4,-5)$