Question

find the distance between the lines with the given equations.
x = 2
x = -6
distance =

Explanation:

Step1: Recall the formula for the distance between two vertical lines

The distance \(d\) between two vertical lines \(x = a\) and \(x = b\) is given by \(d=\vert a - b\vert\). Here, \(a = 2\) and \(b=-6\).

Step2: Calculate the absolute - value

Substitute \(a = 2\) and \(b = - 6\) into the formula \(d=\vert a - b\vert\). Then \(d=\vert2-(-6)\vert=\vert2 + 6\vert\).
Since \(2+6 = 8\), and \(\vert8\vert=8\).

Answer:

\(8\)