Question

find the mid - point m of the line segment joining the points p = (-5, -1) and q = (7, -5). 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 $x_1=-5,y_1=-1,x_2 = 7,y_2=-5$.

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

$x=\frac{-5 + 7}{2}=\frac{2}{2}=1$.

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

$y=\frac{-1+( - 5)}{2}=\frac{-1 - 5}{2}=\frac{-6}{2}=-3$.

Answer:

$(1,-3)$