Question

What is the slope of a line perpendicular to the line whose equation is x - y = 5. Fully reduce your answer.

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asked 2020-10-26

What is the slope of a line perpendicular to the line whose equation is \(x - y = 5\). Fully reduce your answer.

Answers (1)

2020-10-27

Perpendicular lines have slopes that are negative reciprocals. First, we write the given equation in slope intercept form by solving for y:
\(x−y=5\)
\(x−5=y\)
or
\(y=x-5\)
So, the slope of the given line is 1 which means that the slope of the line perpendicular to it is:
\(\displaystyle-{\left(\frac{{1}}{{1}}\right)}=-{1}\)

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