Question

f(-19, 20) and g(15, 20) 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, $x_1=-19$, $y_1 = 20$, $x_2=15$, and $y_2 = 20$.

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

$x=\frac{-19 + 15}{2}=\frac{-4}{2}=-2$.

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

$y=\frac{20+20}{2}=\frac{40}{2}=20$.

Answer:

$(-2,20)$