Question

7 use the number line below to find the coordinates of the midpoint of segment ae.

Explanation:

Step1: Find the coordinates of \(A\) and \(E\)

From the number line, the coordinate of \(A\) is \(-9\) and the coordinate of \(E\) is \(7\).

Step2: Use the mid - point formula

The mid - point formula for two points \(x_1\) and \(x_2\) on a number line is \(M=\frac{x_1 + x_2}{2}\).
Substitute \(x_1=-9\) and \(x_2 = 7\) into the formula: \(M=\frac{-9 + 7}{2}\).
First, calculate the numerator: \(-9+7=-2\).
Then, divide by \(2\): \(M=\frac{-2}{2}=-1\).

Answer:

\(-1\)