Answer:
[tex]y=-\frac{1}{3}x\pm c[/tex]
Step-by-step explanation:
The equation of two parallel lines is such that they have the same slope, when in written in slope intercept form.
Consider one straight line: [tex]y_{1}=mx_{1}+c_{1}[/tex].
Then the line parallel to the above line will be:[tex]y_{2}=mx_{2}+c_{2}[/tex]
The equation of a straight line provided is:
[tex]y=-\frac{1}{3}x-5[/tex]
Then the line parallel to this line will be of the form:
[tex]y=-\frac{1}{3}x\pm c[/tex]
