Question

find the distance between the points (-5, 8.2) and (-5, 2.8).

Explanation:

Step1: Identify the coordinates

The two points are \((-5, 8.2)\) and \((-5, 2.8)\). Since the \(x\)-coordinates are the same (\(-5\)), the distance between them 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 \((x, y_1)\) and \((x, y_2)\) is \(|y_1 - y_2|\). Substituting \(y_1 = 8.2\) and \(y_2 = 2.8\), we get \(|8.2 - 2.8| = |5.4| = 5.4\).

Answer:

\(5.4\)