Question

find the distance between the points (-6, 2) and (-6, 5). distance:

Explanation:

Step1: Identify the coordinates

The two points are \((-6, 2)\) and \((-6, 5)\). Here, the \(x\)-coordinates are the same (\(x_1 = x_2=-6\)), so this is a vertical line segment.

Step2: Use the distance formula for vertical points

For two points with the same \(x\)-coordinate \((x, y_1)\) and \((x, y_2)\), the distance \(d\) is given by \(|y_2 - y_1|\).
Substitute \(y_1 = 2\) and \(y_2 = 5\) into the formula: \(d=|5 - 2|\)

Step3: Calculate the absolute value

\(|5 - 2|=|3| = 3\)

Answer:

3