Question

find the midpoint of points a(6, -7) and b(10, -1) graphically. you may press submit or click the graph again to replot the midpoint. start over remove rectangle device will power down soon. (battery left: about 5 minutes). connect your device power.

Explanation:

Step1: Recall the midpoint formula

The midpoint \( M(x_m, y_m) \) of 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 of A and B

For point \( A(6, -7) \), \( x_1 = 6 \), \( y_1=-7 \). For point \( B(10, -1) \), \( x_2 = 10 \), \( y_2=-1 \).

Step3: Calculate x - coordinate of midpoint

\( x_m=\frac{6 + 10}{2}=\frac{16}{2}=8 \).

Step4: Calculate y - coordinate of midpoint

\( y_m=\frac{-7+(-1)}{2}=\frac{-8}{2}=-4 \).

Answer:

The midpoint of points \( A(6, -7) \) and \( B(10, -1) \) is \( (8, -4) \).