Question

find the distance between the points (3.2, -4.8) and (3.2, -9.7).

Explanation:

Step1: Identify the coordinates

The two points are \((x_1,y_1)=(3.2,-4.8)\) and \((x_2,y_2)=(3.2,-9.7)\). Since \(x_1 = x_2\), the distance formula simplifies.

Step2: Calculate the distance

The distance \(d\) between two points with the same \(x -\)coordinate is \(d=\vert y_1 - y_2\vert\).
Substitute \(y_1=-4.8\) and \(y_2 = -9.7\) into the formula:
\(d=\vert-4.8-(-9.7)\vert=\vert-4.8 + 9.7\vert=\vert4.9\vert\)

Answer:

\(4.9\)