Question

the horizontal distance from ( b(-1,5) ) to the line of reflection is units.

Explanation:

Step1: Determine the line of reflection

From the graph, the line of reflection is \(x = 2\).

Step2: Calculate the horizontal distance

The formula for the horizontal distance between a point \((x_1,y_1)\) and the line \(x = a\) is \(|x_1 - a|\). Here \(x_1=-1\) and \(a = 2\).

$$| - 1-2|=| - 3| = 3$$

Answer:

\(3\)