Question

given the following graph, which point is the midpoint of segment pq?

Explanation:

Step1: Identify the coordinates of P and Q

Let \(P(x_1,y_1)\) and \(Q(x_2,y_2)\). From the graph, assume \(P(2, - 2)\) and \(Q(7,6)\).

Step2: Apply the mid - point formula

The mid - point formula is \(M(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})\). Substitute \(x_1 = 2,y_1=-2,x_2 = 7,y_2 = 6\) into the formula. For the x - coordinate of the mid - point: \(\frac{2 + 7}{2}=\frac{9}{2}=4.5\). For the y - coordinate of the mid - point: \(\frac{-2+6}{2}=\frac{4}{2} = 2\).

Answer:

\((4.5,2)\)