Question

find the distance between the points (3, -5) and (3, 6).

Explanation:

Step1: Identify the coordinates

The two points are \((x_1,y_1)=(3,-5)\) and \((x_2,y_2)=(3,6)\).

Step2: Use the distance formula for points with same \(x -\)coordinate

When \(x_1 = x_2\), the distance \(d=\vert y_2 - y_1\vert\).
Substitute \(y_1=-5\) and \(y_2 = 6\) into the formula:
\(d=\vert6-(-5)\vert=\vert6 + 5\vert\)

Step3: Calculate the absolute value

\(\vert6 + 5\vert=\vert11\vert=11\)

Answer:

\(11\)