Question

find the mid - point m of the line segment joining the points a=(7, - 2) and b=(3, 6). 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 $x_1 = 7,y_1=-2,x_2 = 3,y_2 = 6$.

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

$x=\frac{7 + 3}{2}=\frac{10}{2}=5$.

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

$y=\frac{-2+6}{2}=\frac{4}{2}=2$.

Answer:

$(5,2)$