Question

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

Answer 1

`y=-(1)/(3)x\pm c`

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=-(1)/(3)x-5`

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

`y=-(1)/(3)x\pm c`