Question

find the midpoint, m, of \\( \overline { a b } \\).
\\( a = ( - 3,1 ) b = ( - 1, - 1 ) \\)
\\( m = ( square, square ) \\)
\\( m = ( \frac { x _ { 1 } + x _ { 2 } } { 2 }, \frac { y _ { 1 } + y _ { 2 } } { 2 } ) \\)

Explanation:

Step1: Calculate the x - coordinate of the midpoint

Use the formula \(x=\frac{x_1 + x_2}{2}\). Here \(x_1=-3\), \(x_2=-1\).
\(x=\frac{-3+( - 1)}{2}=\frac{-3 - 1}{2}=\frac{-4}{2}=-2\)

Step2: Calculate the y - coordinate of the midpoint

Use the formula \(y=\frac{y_1 + y_2}{2}\). Here \(y_1 = 1\), \(y_2=-1\).
\(y=\frac{1+( - 1)}{2}=\frac{1 - 1}{2}=0\)

Answer:

\((-2,0)\)