Question

what is the midpoint of $overline{ab}$?

Explanation:

1. First, identify the coordinates of points \(A\) and \(B\):

• From the graph, point \(A\) has coordinates \((-5,-4)\) and point \(B\) has coordinates \((-3,3)\).
• The mid - point formula for two points \((x_1,y_1)\) and \((x_2,y_2)\) is \((\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})\).

1. Calculate the \(x\) - coordinate of the mid - point:

• Let \(x_1=-5\), \(x_2 = - 3\). Then \(x=\frac{-5+( - 3)}{2}=\frac{-5 - 3}{2}=\frac{-8}{2}=-4\).

1. Calculate the \(y\) - coordinate of the mid - point:

• Let \(y_1=-4\), \(y_2 = 3\). Then \(y=\frac{-4 + 3}{2}=\frac{-1}{2}=-0.5\).

Answer:

\((-4,-0.5)\)