Question

b(20,3) and c(5,8) 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 \(x_1 = 20\) and \(x_2=5\).
\(M_x=\frac{20 + 5}{2}=\frac{25}{2}=12.5\)

Step2: Find the y - coordinate of the midpoint

The formula for the y - coordinate of the midpoint \(M_y=\frac{y_1 + y_2}{2}\), where \(y_1 = 3\) and \(y_2 = 8\).
\(M_y=\frac{3+8}{2}=\frac{11}{2}=5.5\)

Answer:

\((12.5,5.5)\)