Question

find the distance between the points (9, 4) and (9, -8).
□ units

Explanation:

Step1: Identify the coordinates

The two points are \((x_1, y_1) = (9, 4)\) and \((x_2, y_2) = (9, -8)\). Since the \(x\)-coordinates are the same (\(x_1 = x_2 = 9\)), the distance between the points is the absolute difference of the \(y\)-coordinates.

Step2: Calculate the distance

The formula for the distance between two points with the same \(x\)-coordinate is \(|y_2 - y_1|\). Substituting the values, we get \(|-8 - 4| = |-12| = 12\).

Answer:

12