Question 67512: Determine which two equations represent parallel lines.(a) y = x + 4 (b) y = x – 7 (c) y = 2x + 8 (d) y = 2x – 4 Answer by bam878s(77) (Show Source):
You can put this solution on YOUR website! Parallel lines are the easiest to visualize given an equation. Think: what does it mean when two lines are parallel. It means the two lines NEVER interesect each other. So, wouldn't two lines with the same slope be parallel? The answer is yes! In equation of the form above, it is easy to determine the slope because it is just the value in front of the x. So, lines (a) and (b) are parallel and lines (c) and (d) are parallel. Try graphing these lines for a few values of x and "playing around" with them. That is the best way to visualize these.
Hope this helps!!
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