Question

f(8, -4) and g(0, 8) 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, $x_1 = 8,y_1=-4,x_2 = 0,y_2 = 8$.

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

$x=\frac{8 + 0}{2}=\frac{8}{2}=4$.

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

$y=\frac{-4 + 8}{2}=\frac{4}{2}=2$.

Answer:

$(4,2)$