Question

find the midpoint, m, of ab.
a = (-7, 9) b = (-5, 3)
m = (?, )
m = (\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})

Explanation:

Step1: Calculate the x - coordinate of the midpoint

Use the formula \(x=\frac{x_1 + x_2}{2}\). Here \(x_1=-7\), \(x_2 = - 5\). Then \(x=\frac{-7+( - 5)}{2}=\frac{-7 - 5}{2}=\frac{-12}{2}=-6\)

Step2: Calculate the y - coordinate of the midpoint

Use the formula \(y=\frac{y_1 + y_2}{2}\). Here \(y_1 = 9\), \(y_2=3\). Then \(y=\frac{9 + 3}{2}=\frac{12}{2}=6\)

Answer:

$(-6,6)$