Question

find the midpoint m of the line segment joining the points p = (-4, -7) and q = (0, -1).

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, $x_1=-4,y_1=-7,x_2 = 0,y_2=-1$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{-4 + 0}{2}=\frac{-4}{2}=-2$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{-7+( - 1)}{2}=\frac{-7 - 1}{2}=\frac{-8}{2}=-4$.

Answer:

$(-2,-4)$