Question 57277
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 is{{{highlight(y=mx+b)}}}, where m=slope and (0,b)=y-intercept.
In (a)
{{{y=highlight(6)x-5}}} the slope, m=6.
In (b)
{{{y=highlight(6)x+5}}} the slope, m=6
In (c)
{{{y=highlight(6)x+2}}} the slope, m=6
In (d)
{{{y=highlight(-1/6)x-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(300,200,-10,10,-10,10, 6x-5,6x+5,6x+2,(-1/6)x-5)}}}
Happy Calculating, Ashley!!!