Question

find the distance between the points (6.3, 7.6) and (6.3, -4.8).

Explanation:

Step1: Identify the coordinates

The two points are \((6.3, 7.6)\) and \((6.3, -4.8)\). Since the \(x\)-coordinates are the same (\(x_1 = x_2 = 6.3\)), the distance between them is the absolute difference of the \(y\)-coordinates.

Step2: Calculate the distance

The distance \(d\) between two points \((x_1, y_1)\) and \((x_2, y_2)\) when \(x_1 = x_2\) is given by \(d=\vert y_1 - y_2\vert\).
Substituting \(y_1 = 7.6\) and \(y_2=- 4.8\), we get:
\(d=\vert7.6-(-4.8)\vert=\vert7.6 + 4.8\vert=\vert12.4\vert = 12.4\)

Answer:

The distance between the two points is \(12.4\).