Question

pq has endpoints at p(12, -8) and q(1, -10). find the midpoint m of pq. write the coordinates as decimals or integers. m = ( , )

Explanation:

Step1: Calculate the x - coordinate of the midpoint

The formula for the x - coordinate of the midpoint \(M_x=\frac{x_1 + x_2}{2}\), where \(x_1 = 12\) and \(x_2=1\).
\(M_x=\frac{12 + 1}{2}=\frac{13}{2}=6.5\)

Step2: Calculate the y - coordinate of the midpoint

The formula for the y - coordinate of the midpoint \(M_y=\frac{y_1 + y_2}{2}\), where \(y_1=-8\) and \(y_2 = - 10\).
\(M_y=\frac{-8+( - 10)}{2}=\frac{-8 - 10}{2}=\frac{-18}{2}=-9\)

Answer:

\((6.5,-9)\)