Question

find the midpoint of points ( a(-8, -7) ) and ( b(0, -3) ) graphically. you may press submit or click the graph again to replot the midpoint. reset new remove redange

Explanation:

Step1: Recall midpoint formula

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

Step2: Identify coordinates

For \( A(-8, -7) \), \( x_1=-8 \), \( y_1 = -7 \); for \( B(0, -3) \), \( x_2 = 0 \), \( y_2=-3 \).

Step3: Calculate x - coordinate of midpoint

\( x_m=\frac{-8 + 0}{2}=\frac{-8}{2}=-4 \)

Step4: Calculate y - coordinate of midpoint

\( y_m=\frac{-7+(-3)}{2}=\frac{-10}{2}=-5 \)

Answer:

The midpoint of points \( A(-8, -7) \) and \( B(0, -3) \) is \( (-4, -5) \)