Question

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

Explanation:

Step1: Identify the type of line

The two points \((4, 4)\) and \((4, -9)\) have the same \(x\)-coordinate, so the line connecting them is vertical.

Step2: Calculate the distance

For a vertical line, the distance between two points \((x, y_1)\) and \((x, y_2)\) is \(|y_1 - y_2|\). Here, \(y_1 = 4\) and \(y_2=-9\), so the distance is \(|4 - (-9)|=|4 + 9| = 13\).

Answer:

13