Question

fg has endpoints at f(27, 15) and g(4, 52). find the mid - point 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, $x_1 = 27$, $y_1=15$, $x_2 = 4$, and $y_2 = 52$.

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

$x=\frac{27 + 4}{2}=\frac{31}{2}=15.5$.

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

$y=\frac{15+52}{2}=\frac{67}{2}=33.5$.

Answer:

$(15.5,33.5)$