Question

find the distance between point e and point f.

Explanation:

Step1: Determine the coordinates of points

Point \( E\) has coordinates \((-3,2)\), and point \( F\) has coordinates \((-3,-2)\).

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

Since the \(x\) - coordinates are the same (\(x_1 = x_2=-3\)), the distance \(d\) between two points \((x_1,y_1)\) and \((x_2,y_2)\) is given by \(d=\vert y_1 - y_2\vert\).
Substitute \(y_1 = 2\) and \(y_2=-2\) into the formula: \(d=\vert2-(-2)\vert=\vert2 + 2\vert\).

Step3: Calculate the absolute value

\(\vert2 + 2\vert=\vert4\vert = 4\).

Answer:

\(4\)