Question

Which equation represents a line which is parallel to the line y = 1/3x +6x+3y=243y-x=-183y−x=−183x-y=73x−y=73x+y=-83x+y=−8

Answer 1

Recall that two lines are parallel if they have the same slope.

Now, the given equation is in the form

`y=mx+b,`

where m is the slope. Therefore, the slope of the given line is

`(1)/(3),`

and it has to be the slope of the parallel line.

Taking the options to their slope-intercept form, we can determine which equation represents a parallel line to the given line.

Answer: An equation of the form:

`y=(1)/(3)x+b\text{.}`

Where b is a constant.