Question

Which of these equations represents a line parallel to the graph of the equatioNy=-1/3x-5​

Answer 1

Answer:

$y=-\frac{1}{3}x\pm c$

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: $y_{1}=mx_{1}+c_{1}$.

Then the line parallel to the above line will be:$y_{2}=mx_{2}+c_{2}$

The equation of a straight line provided is:

$y=-\frac{1}{3}x-5$

Then the line parallel to this line will be of the form:

$y=-\frac{1}{3}x\pm c$