Question

f(8.1, 1.7) and g(-8.6, 0.4) are the endpoints of a line segment. what is the midpoint 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, $x_1 = 8.1$, $y_1=1.7$, $x_2=-8.6$, and $y_2 = 0.4$.

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

$x=\frac{8.1+( - 8.6)}{2}=\frac{8.1 - 8.6}{2}=\frac{-0.5}{2}=-0.25$

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

$y=\frac{1.7 + 0.4}{2}=\frac{2.1}{2}=1.05$

Answer:

$(-0.25,1.05)$