Question

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find the distance between the points (-5, 4) and (-5, -10).

Explanation:

Step1: Identify Coordinate Type

The two points \((-5, 4)\) and \((-5, -10)\) have the same \(x\)-coordinate (\(-5\)), so the distance is vertical.

Step2: Calculate Vertical Distance

Subtract the \(y\)-coordinates (or find the absolute difference). The formula for vertical distance between \((x, y_1)\) and \((x, y_2)\) is \(|y_1 - y_2|\). Here, \(y_1 = 4\), \(y_2 = -10\). So \(|4 - (-10)| = |14| = 14\).

Answer:

14