Question

write the ordered pair that represents the midpoint of the two given points shown below.

Explanation:

Step1: Identify the coordinates of the two points

Let the first - point be \((x_1,y_1)\) and the second - point be \((x_2,y_2)\). From the graph, assume the first point is \((-5,6)\) and the second point is \((0, - 1)\).

Step2: Use the mid - point formula

The mid - point formula is \((\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})\). Substitute \(x_1=-5,x_2 = 0,y_1 = 6,y_2=-1\) into the formula. For the \(x\) - coordinate of the mid - point: \(\frac{-5 + 0}{2}=\frac{-5}{2}=-2.5\). For the \(y\) - coordinate of the mid - point: \(\frac{6+( - 1)}{2}=\frac{6 - 1}{2}=\frac{5}{2}=2.5\).

Answer:

\((-2.5,2.5)\)