Question

find the midpoint of the line segment with the given endpoints. (-6,-9) and (-7,-5) the midpoint is. (type an ordered pair.)

Explanation:

Step1: Find the x - coordinate of the midpoint

The formula for the x - coordinate of the midpoint \(M_x=\frac{x_1 + x_2}{2}\). Given \((x_1,y_1)=(-6,-9)\) and \((x_2,y_2)=(-7,-5)\), then \(M_x=\frac{-6+( - 7)}{2}=\frac{-6 - 7}{2}=\frac{-13}{2}=-6.5\)

Step2: Find the y - coordinate of the midpoint

The formula for the y - coordinate of the midpoint \(M_y=\frac{y_1 + y_2}{2}\). So \(M_y=\frac{-9+( - 5)}{2}=\frac{-9 - 5}{2}=\frac{-14}{2}=-7\)

Answer:

\((-6.5,-7)\)