Question

find the midpoint of the segment with the following endpoints.
(7, -4) and (-1, -9)

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points \((x_1,y_1)\) and \((x_2,y_2)\) is \((\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})\). Here \(x_1 = 7,y_1=-4,x_2=-1,y_2 = - 9\).

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

\(x=\frac{7+( - 1)}{2}=\frac{7 - 1}{2}=\frac{6}{2}=3\)

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

\(y=\frac{-4+( - 9)}{2}=\frac{-4-9}{2}=\frac{-13}{2}=-6.5\)

Answer:

\((3,-6.5)\)