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Question

# Analyze each set of lines and decide whether they are parallel, perpendicular, or neither.$x-3 y=1$$3 x+y=4$

Solution

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Step 1
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We will firstly find the slopes of the lines that the two equations describe, and then we will check if they are parallel, perpendicular or neither.

To find the slopes of the line described by the equations, we need to have the equations in the slope-intercept form:

$$$y=\underbrace{\textcolor{teal}{m}}_{slope}x+c$$$

where $\textcolor{teal}{m}$ represents the slope of the line that the equation describes.

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