Question

find the coordinate of the midpoint of the line segment that joins the two given points. (-3, -7) and (7, -8)

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$.

Step2: Identify the values of $x_1,y_1,x_2,y_2$

Here $x_1=-3,y_1 = - 7,x_2=7,y_2=-8$.

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

$x=\frac{-3 + 7}{2}=\frac{4}{2}=2$.

Step4: Calculate the y - coordinate of the mid - point

$y=\frac{-7+( - 8)}{2}=\frac{-7 - 8}{2}=\frac{-15}{2}=-7.5$.

Answer:

$(2,-7.5)$