Question

find the distance between the points (-4, 10) and (-4, -8).
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Explanation:

Step1: Identify the coordinates

The two points are \((-4, 10)\) and \((-4, -8)\). Here, the \(x\)-coordinates are the same (\(x_1 = x_2 = -4\)), and the \(y\)-coordinates are \(y_1 = 10\) and \(y_2 = -8\).

Step2: Use the distance formula for vertical line

Since the \(x\)-coordinates are equal, the distance \(d\) between the two points is the absolute difference of the \(y\)-coordinates. The formula is \(d=\vert y_1 - y_2\vert\).

Substitute \(y_1 = 10\) and \(y_2 = -8\) into the formula:
\(d=\vert10-(-8)\vert=\vert10 + 8\vert=\vert18\vert = 18\)

Answer:

18