Question

find the coordinates of the midpoint of a segment with the endpoints (22,4) and (15,7).

Explanation:

Step1: Calculate the x - coordinate of the midpoint

The formula for the x - coordinate of the midpoint \(M_x\) of a segment with endpoints \((x_1,y_1)\) and \((x_2,y_2)\) is \(M_x=\frac{x_1 + x_2}{2}\).
Here, \(x_1 = 22\), \(x_2=15\), so \(M_x=\frac{22 + 15}{2}=\frac{37}{2}=18.5\).

Step2: Calculate the y - coordinate of the midpoint

The formula for the y - coordinate of the midpoint \(M_y\) of a segment with endpoints \((x_1,y_1)\) and \((x_2,y_2)\) is \(M_y=\frac{y_1 + y_2}{2}\).
Here, \(y_1 = 4\), \(y_2 = 7\), so \(M_y=\frac{4+7}{2}=\frac{11}{2}=5.5\).

Answer:

\((18.5,5.5)\)