Question

find the midpoint, m, of ab.
a = (3, 7) b = (7, 11)
m = (?, )
m = (\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})

Explanation:

Step1: Calculate the x - coordinate of the mid - point

Use the formula \(x=\frac{x_1 + x_2}{2}\). Here \(x_1 = 3\), \(x_2=7\).
\(x=\frac{3 + 7}{2}=\frac{10}{2}=5\)

Step2: Calculate the y - coordinate of the mid - point

Use the formula \(y=\frac{y_1 + y_2}{2}\). Here \(y_1 = 7\), \(y_2 = 11\).
\(y=\frac{7+11}{2}=\frac{18}{2}=9\)

Answer:

$(5,9)$