Having trouble understanding Slopes and graphs portion of my Algebra class. please help.

The problem is
Determine which two equations represent parallel lines.
(a)  y = 6x – 10	(b)  y = –6x + 10	(c)  y = 6x + 5	(d)  y =  x – 10

You need to know:

(1) that parallel lines have equal slopes.

and

(2) that  y = mx + b is the equation of a linbe with slope = m [and
with y-intercept (0,b), although we don't need y-intercept here].  

So compare each equation (a), (b), (c), and (d) with the 
slope-intercept form y = mx + b

     y =  mx +  b
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(a)  y =  6x – 10  <--- Here the slope m is  6 	
(b)  y = –6x + 10  <--- Here the slope m is -6 	
(c)  y =  6x +  5  <--- Here the slope m is  6	
(d)  y =  1x – 10  <--- Here the slope m is  1

Thus (a) and (c) have the same slope and so are parallel.

The graph of (a)  y = 6x – 10 is:

 

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The graph of (b)  y = -6x + 10 is

 

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The graph of (c)  y = 6x + 5 is

 

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The graph of (d)  y = x – 10 is

 

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Edwin