Question

a line segment has the endpoints ( t(5,20) ) and ( u(15,3) ). find the coordinates of its midpoint ( m ).
write the coordinates as decimals or integers.
( m=(square,square) )

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 \(x_1 = 5\) and \(x_2=15\).
\(M_x=\frac{5 + 15}{2}=\frac{20}{2}=10\)

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 \(y_1 = 20\) and \(y_2 = 3\).
\(M_y=\frac{20+3}{2}=\frac{23}{2}=11.5\)

Answer:

\(M=(10,11.5)\)