Question

c(-10, 4) and d(10, 2) 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 mid - point

The formula for the x - coordinate of the mid - point \(M_x=\frac{x_1 + x_2}{2}\), where \(x_1=-10\) and \(x_2 = 10\).
\(M_x=\frac{-10 + 10}{2}=\frac{0}{2}=0\)

Step2: Find the y - coordinate of the mid - point

The formula for the y - coordinate of the mid - point \(M_y=\frac{y_1 + y_2}{2}\), where \(y_1 = 4\) and \(y_2=2\).
\(M_y=\frac{4 + 2}{2}=\frac{6}{2}=3\)

Answer:

\((0,3)\)