Question

find the midpoint, m, of ( overline{ab} ).
( a=(2,5) ) ( b=(-6,-3) )
( m=(square,square) )
( m=left(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2}
ight) )

Explanation:

Step1: Calculate the x - coordinate of the midpoint

Use the formula \(x=\frac{x_1 + x_2}{2}\), where \(x_1 = 2\) and \(x_2=-6\).
\(x=\frac{2+( - 6)}{2}=\frac{2 - 6}{2}=\frac{-4}{2}=-2\)

Step2: Calculate the y - coordinate of the midpoint

Use the formula \(y=\frac{y_1 + y_2}{2}\), where \(y_1 = 5\) and \(y_2=-3\).
\(y=\frac{5+( - 3)}{2}=\frac{5 - 3}{2}=\frac{2}{2}=1\)

Answer:

\((-2,1)\)