Question

find the distance between the points (8, 11) and (8, -20).

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Explanation:

Step1: Identify the coordinates

The two points are \((8, 11)\) and \((8, -20)\). Here, the \(x\)-coordinates are the same (\(x_1 = x_2 = 8\)), so this is a vertical line segment.

Step2: Use the distance formula for vertical points

For vertical points \((x, y_1)\) and \((x, y_2)\), the distance \(d\) is \(|y_1 - y_2|\).
Substitute \(y_1 = 11\) and \(y_2 = -20\) into the formula:
\(d = |11 - (-20)|\)
\(d = |11 + 20|\)
\(d = |31|\)
\(d = 31\)

Answer:

31