Question

find the distance between point e and point f.

Explanation:

Step1: Find the x - coordinates of points E and F

Point E has an x - coordinate of \(x_E=-1\). Point F has an x - coordinate of \(x_F = 2\).

Step2: Calculate the distance

Since the y - coordinates of E and F are the same (both \(y=-6\)), the distance \(d\) between two points \((x_1,y)\) and \((x_2,y)\) is given by \(d=\vert x_2 - x_1\vert\). Substitute \(x_1=-1\) and \(x_2 = 2\) into the formula: \(d=\vert2-(-1)\vert=\vert2 + 1\vert=\vert3\vert = 3\).

Answer:

\(3\)