Question

find the midpoint of points a(-6, 2) and b(2, 5) graphically. you may press submit or click the graph again to replot the midpoint.

Explanation:

Step1: Recall midpoint formula

The midpoint \( M(x_m, y_m) \) between two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is given by \( x_m=\frac{x_1 + x_2}{2} \) and \( y_m=\frac{y_1 + y_2}{2} \).

Step2: Identify coordinates

For points \( A(-6, 2) \) and \( B(2, 5) \), we have \( x_1=-6 \), \( y_1 = 2 \), \( x_2=2 \), \( y_2=5 \).

Step3: Calculate \( x \)-coordinate of midpoint

\( x_m=\frac{-6 + 2}{2}=\frac{-4}{2}=-2 \)

Step4: Calculate \( y \)-coordinate of midpoint

\( y_m=\frac{2+5}{2}=\frac{7}{2} = 3.5 \)

Answer:

The midpoint of points \( A(-6, 2) \) and \( B(2, 5) \) is \( (-2, 3.5) \)