Question

q(-1, 7) and r(-3, 10) are the endpoints of a line segment. what is the midpoint m of that line segment? write the coordinates as decimals or integers. m = ( , )

Explanation:

Step1: Find the x - coordinate of the midpoint

The formula for the x - coordinate of the midpoint \(M_x=\frac{x_1 + x_2}{2}\), where \(x_1=-1\) and \(x_2=-3\).

$$M_x=\frac{-1+(-3)}{2}=\frac{-1 - 3}{2}=\frac{-4}{2}=-2$$

Step2: Find the y - coordinate of the midpoint

The formula for the y - coordinate of the midpoint \(M_y=\frac{y_1 + y_2}{2}\), where \(y_1 = 7\) and \(y_2=10\).

$$M_y=\frac{7 + 10}{2}=\frac{17}{2}=8.5$$

Answer:

\(M=(-2,8.5)\)