Question

a line segment has the endpoints ( f(-18,-2) ) and ( g(15,6) ). find the coordinates of its midpoint ( m ).
write the coordinates as decimals or integers.
( m=(square,square) )

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 \(x_1=-18\) and \(x_2 = 15\).
\(M_x=\frac{-18 + 15}{2}=\frac{-3}{2}=-1.5\)

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 \(y_1=-2\) and \(y_2 = 6\).
\(M_y=\frac{-2+6}{2}=\frac{4}{2}=2\)

Answer:

\((-1.5,2)\)