Question

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

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:
$$\displaystyle-{\left(\frac{{1}}{{1}}\right)}=-{1}$$