Question

find the distance between the points (6.2, 9.6) and (6.2, 4).
□ units
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Explanation:

Step1: Identify the coordinates

The two points are \((6.2, 9.6)\) and \((6.2, 4)\). Since the \(x\)-coordinates are the same (\(x = 6.2\) for both), the distance between them is the absolute difference of the \(y\)-coordinates.

Step2: Calculate the distance

The formula for the distance \(d\) between two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\). But since \(x_1=x_2 = 6.2\), this simplifies to \(d=\vert y_2 - y_1\vert\).
Substituting \(y_1 = 9.6\) and \(y_2 = 4\), we get \(d=\vert9.6 - 4\vert=\vert5.6\vert = 5.6\).

Answer:

\(5.6\)