SOLUTION: Can someone help me out on this problem? I put it through last night, but I typed the past part wrong. I need to determine which two equations represent parallel lines.:

Algebra ->  Graphs -> SOLUTION: Can someone help me out on this problem? I put it through last night, but I typed the past part wrong. I need to determine which two equations represent parallel lines.:       Log On


   

Question 57277: Can someone help me out on this problem? I put it through last night, but I typed the past part wrong.
I need to determine which two equations represent parallel lines.:
(a) y = 6x -5, (b) y = 6x + 5 (c) y = 6x + 2 or (d) y = - 1/6 x - 5
Thank you,
Ashley
Found 2 solutions by stanbon, funmath:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
a, b, and c all have a slope of 6, so they are parallel lines.
Cheers,
Stan H.

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
I need to determine which two equations represent parallel lines.:
(a) y = 6x -5, (b) y = 6x + 5 (c) y = 6x + 2 or (d) y = - 1/6 x - 5
I sent you an email about this one. But I'll explain it again.
Parallel lines have equla slopes.
We can tell the slope of a line that is in slope intercept form by looking at the coefficient of x.
Slope intercept form ishighlight%28y=mx%2Bb%29, where m=slope and (0,b)=y-intercept.
In (a)
y=highlight%286%29x-5 the slope, m=6.
In (b)
y=highlight%286%29x%2B5 the slope, m=6
In (c)
y=highlight%286%29x%2B2 the slope, m=6
In (d)
y=highlight%28-1%2F6%29x-5 the slope, m=-1/6
:
I was confused because you have three parallel lines instead of two. a, b, and c are all parallel, the only one that isn't is (d).
Take a look at their graphs, can you see what I mean?
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C+6x-5%2C6x%2B5%2C6x%2B2%2C%28-1%2F6%29x-5%29
Happy Calculating, Ashley!!!