Question

How do you decide whether the graphs of the two equations are parallel lines: `y=6x-7, y=3+6x`?

Answer 1

Compare the two equations to the slope-intercept form of a line

`y=mx+b` where `m=` slope and `b=` y intercept.

`y=6x-7` is in this form with `m=6`

`y=3+6x` can be rewritten as `y=6x+3`. This equation also has a slope `m=6`.

Parallel lines have equal slopes `=>` these lines are parallel.