Question

find the distance between the points (-19, 6.5) and (-19, -16).

□ units

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Explanation:

Step1: Identify the coordinates

The two points are \((-19, 6.5)\) and \((-19, -16)\). Here, the \(x\)-coordinates are the same (\(x_1 = x_2=-19\)), so this is a vertical line segment.

Step2: Use the distance formula for vertical points

For two points \((x, y_1)\) and \((x, y_2)\), the distance \(d\) is given by \(|y_1 - y_2|\).
Substitute \(y_1 = 6.5\) and \(y_2=-16\) into the formula:
\(d = |6.5 - (-16)|\)
\(=|6.5 + 16|\)
\(=|22.5|\)
\(= 22.5\)

Answer:

22.5