Question

find the distance between the points (10, 9) and (10, -7).

units

Explanation:

Step1: Identify the type of points

The two points \((10, 9)\) and \((10, -7)\) have the same \(x\)-coordinate, so they lie on a vertical line.

Step2: Use the distance formula for vertical line

For points with the same \(x\)-coordinate \(x = a\), the distance between \((a, y_1)\) and \((a, y_2)\) is \(|y_1 - y_2|\). Here, \(y_1 = 9\), \(y_2 = -7\), so distance is \(|9 - (-7)| = |9 + 7| = |16| = 16\).

Answer:

16