Question

find the distance between the points (-6, 8) and (-6, 3).
□ units
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Explanation:

Step1: Identify the coordinates

The two points are \((-6, 8)\) and \((-6, 3)\). Here, the x - coordinates are the same (\(x_1=x_2 = - 6\)) and the y - coordinates are \(y_1 = 8\) and \(y_2=3\).

Step2: Use the distance formula for vertical line

When two points \((x_1,y_1)\) and \((x_2,y_2)\) have the same x - coordinate (\(x_1=x_2\)), the distance \(d\) between them is given by \(d=\vert y_1 - y_2\vert\).

Substitute \(y_1 = 8\) and \(y_2 = 3\) into the formula: \(d=\vert8 - 3\vert=\vert5\vert = 5\).

Answer:

5