# What is the slope of a line perpendicular to the line whose equation is x - 3y = -18. Fully reduce your answer. Question
Functions What is the slope of a line perpendicular to the line whose equation is x - 3y = -18. Fully reduce your answer. 2021-01-06
Perpendicular lines have slopes that are negative reciprocals. First, we write the given equation in slope intercept form by solving for y:
x-3y=-18
-3y=-x-18
$$\displaystyle{y}=\frac{{-{x}-{18}}}{{-{{3}}}}$$
$$\displaystyle{y}=\frac{{1}}{{3}}{x}+{6}$$
So, the slope of the given line is $$\displaystyle\frac{{1}}{{3}}$$ which means that the slope of the line perpendicular to it is:
$$\displaystyle-\frac{{\frac{{1}}{{1}}}}{{3}}=-{3}$$

### Relevant Questions What is the slope of a line perpendicular to the line whose equation is x - y = 5. Fully reduce your answer. Which of the following is an equation of the line that has a y-intercept of 2 and an x-intercept of 3?
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