Question

Are the graphs of 2x+7y=6 and 7y = 2x +6 parallel? Explain.

Answer 1

With questions like this (to see if theyre parallel), all you have to do is see if lines have a congruent slope. if yes (ex: 2 and 2), then they are parallel. if the slopes are opposites (ex: 4 and -1/4), then they are perpendicular. If they have no such relation (ex: -3 and 1/7), then they are neither.

with this problem, find the slope by separating the same variable in each equations, like this:

2x + 7y = 6
-2x            -2x

7y = -2x + 6

(the second equation is already separated) so now we have

7y = -2x + 6 and 7y = 2x + 6

since -2 does NOT equal 2, these two graphs/lines are NOT parallel.
Hope this helped!