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

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

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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