Question

a line segment has the endpoints f(-17, -6) and g(11, 13). find the coordinates of its midpoint m.
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 \(x_1=-17\) and \(x_2 = 11\).
\(M_x=\frac{-17+11}{2}=\frac{-6}{2}=-3\)

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 \(y_1=-6\) and \(y_2 = 13\).
\(M_y=\frac{-6 + 13}{2}=\frac{7}{2}=3.5\)

Answer:

\((-3,3.5)\)