Question

find the midpoint of points a(9, -4) and b(2, -7) graphically. plot the line segment ab by clicking twice on the graph. answer attempt 1 out of 2

Explanation:

Step1: Calculate the x - coordinate of the midpoint

The formula for the x - coordinate of the midpoint \(M_x=\frac{x_1 + x_2}{2}\), where \(x_1 = 9\) and \(x_2=2\).
\(M_x=\frac{9 + 2}{2}=\frac{11}{2}=5.5\)

Step2: Calculate the y - coordinate of the midpoint

The formula for the y - coordinate of the midpoint \(M_y=\frac{y_1 + y_2}{2}\), where \(y_1=-4\) and \(y_2 = - 7\).
\(M_y=\frac{-4+( - 7)}{2}=\frac{-4 - 7}{2}=\frac{-11}{2}=-5.5\)

Answer:

The midpoint of points \(A(9,-4)\) and \(B(2,-7)\) is \((5.5,-5.5)\)