Question

How to move a parallel line next to the origin

Answer 1

Write its y-intercept as zero:

`y=m\,x`

Explanation:

If the line is given in slope-intercept form:

`y=m\,x+b`

make sure that you keep the value of the slope (m) as it is (because you want a line parallel to this one so it has to have the same slope "m", and change the value of "b" to zero, leaving the line with the following form:

`y=m\,x+0\\y=m\,x`

This forces the line to have its y-intercept at the value zero (origin of coordinates)