Question

find the mid - point of $overline{ab}$ midpoint of $overline{ab}=()$

Explanation:

Step1: Identify coordinates of A and B

Let \(A=(x_1,y_1)\) and \(B=(x_2,y_2)\). From the graph, \(A = (-4,-4)\) and \(B=(-2,4)\).

Step2: Use mid - point formula

The mid - point formula for two points \((x_1,y_1)\) and \((x_2,y_2)\) is \((\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})\).
Substitute \(x_1=-4,x_2 = - 2,y_1=-4,y_2 = 4\) into the formula.
For the x - coordinate of the mid - point: \(\frac{-4+( - 2)}{2}=\frac{-4 - 2}{2}=\frac{-6}{2}=-3\).
For the y - coordinate of the mid - point: \(\frac{-4 + 4}{2}=\frac{0}{2}=0\).

Answer:

\((-3,0)\)