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

Question

2392 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-12-05T03:51:20

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.

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