Ask your own question, for FREE!
Mathematics 11 Online
OpenStudy (anonymous):

Without graphing, determine whether the following pairs of lines are parallel, perpendicular, or neither 5x - 6y = 19 6x + 5y = -30

OpenStudy (bahrom7893):

So in this case: rewrite both equations so that it is easier for you to see what the slopes are. If the slopes are equal to each other, then the lines are parallel, if one slope is negative one over the slope of the other line, then these lines are perpendicular. If none of the above are true, then they are neither.

OpenStudy (bahrom7893):

So in first case: 5x - 6y = 19 (Move 5x to the right hand side) - 6y = 19 - 5x (Multiply everything by -1) 6y = 5x - 19 (Divide everything by 6) y = (5/6)x - (19/6) <= This has the form of y = Mx+b, where M is the slope of the line. In this case the slope is: M = 5/6

OpenStudy (bahrom7893):

sorry will finish solving this in a couple of minutes, something urgent showed up.

OpenStudy (bahrom7893):

So in the second case, 6x + 5y = -30 (move 6x to the right) 5y = -30 - 6x (divide across by 5) y = -6 - (6/5)x or y = (-6/5)x - 6

OpenStudy (bahrom7893):

In the second case, slope is -6/5 and in the first case it is 5/6. if you divide -1 by 5/6, you will get -6/5 => these lines are perpendicular

OpenStudy (bahrom7893):

questions?

OpenStudy (anonymous):

ty

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Latest Questions
Countless7Echos: Ah trying out the whole T.V girl drawing :p (I love drawing eyes)
45 minutes ago 8 Replies 5 Medals
kaelynw: starting to draw a hand
2 days ago 16 Replies 2 Medals
Twaylor: Rate it :D (Took 2 days)
2 days ago 7 Replies 0 Medals
XShawtyX: Art, Short Writing Assignment: Imagining Landscapes
4 hours ago 7 Replies 1 Medal
XShawtyX: Chemistry, Help ud83dude4fud83cudffe
3 days ago 13 Replies 1 Medal
kaelynw: tried a lil smt, the arm is off but i like the other stuff
3 days ago 27 Replies 3 Medals
kaelynw: art igg
3 days ago 14 Replies 1 Medal
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!