SOLUTION: Please help! When looking at two linear equations how can you tell lines are corresponding without putting in slope-intercept form? If possible could you include example? Than

Question 137402This question is from textbook
: Please help!
When looking at two linear equations how can you tell lines are corresponding without putting in slope-intercept form?
If possible could you include example?
Thank you very much for giving your time. This question is from textbook

Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!
I am not sure what you mean by corresponding. If you mean, how can you tell if two lines are really the same line, then one equation will be a simple multiple of the other one.
5x + 3y = 10 two equations are multiples, so they produce the same graph
15x + 9y = 30
If you asking how to tell if two lines are parallel without finding the slope, then you would need to look at the ratio of both equations x and y coefficients. I suppose that is less work than converting to slope-intercept. But unless speed is the requirement, it seems like more effort than it is probably worth.
5x + 3y = 10 ratio is 3/5
15x + 9y = 10 ratio is 9/15 = 3/5. different graph, but parallel
hope that helps some
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