Question

oint of the segment given its endpoints. 7. m(-5, 9) and n(-2, 7)

Explanation:

Step1: Recall midpoint formula

The midpoint \( (x_m, y_m) \) 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

Here, \( x_1=-5 \), \( y_1 = 9 \), \( x_2=-2 \), \( y_2 = 7 \).

Step3: Calculate x - coordinate of midpoint

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

Step4: Calculate y - coordinate of midpoint

\( y_m=\frac{9 + 7}{2}=\frac{16}{2}=8 \)

Answer:

The midpoint is \( (-3.5, 8) \)