Question

line ( l_1 ) has the equation ( x = 5 ) and line ( l_2 ) has the equation ( x = -6 ). find the distance between ( l_1 ) and ( l_2 ).
round your answer to the nearest tenth.

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Explanation:

Step1: Calculate the difference

The equations of the lines are \(x = 5\) and \(x=-6\). The distance between two vertical lines \(x = a\) and \(x = b\) is \(|a - b|\). Here \(a = 5\) and \(b=-6\), so the distance \(d=|5-(-6)|\).

Step2: Simplify the expression

\(d = |5 + 6|\)
\(d=|11|\)
\(d = 11\)

Answer:

\(11\)