Question

the coordinates of two points are given: q(2, -3) and t(4, 1). find the coordinates of the midpoint, m. m( ? , ? )
m=(3, -1)
m=($\frac{1}{2}$, $\frac{1}{2}$)
m=(-3, -1)
m=(1, 3)

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, $x_1 = 2,y_1=-3,x_2 = 4,y_2 = 1$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{2 + 4}{2}=\frac{6}{2}=3$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{-3 + 1}{2}=\frac{-2}{2}=-1$.

Answer:

A. $M=(3,-1)$