Question

fg has endpoints at f(85, -4) and g(60, -99). find the midpoint m of fg. 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, $x_1 = 85$, $y_1=-4$, $x_2 = 60$, and $y_2=-99$.

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

$x=\frac{85 + 60}{2}=\frac{145}{2}=72.5$.

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

$y=\frac{-4+( - 99)}{2}=\frac{-4 - 99}{2}=\frac{-103}{2}=-51.5$.

Answer:

$(72.5,-51.5)$