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Neil is analyzing two linear functions, f(x) and g(x). Will they intersect?

Neil is analyzing two linear functions, f(x) and g(x). Will they intersect?-example-1
User Subsurf
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No, the two lines do NOT intersect because they are parallel lines (see the attached image). Both lines have a slope of 2, or 2/1. Recall that slope = rise/run. So this means that we go up 2 and over to the right 1. Lines with the same slope but different y intercepts means that they are parallel. Parallel lines never cross.

In short, the final answer is choice D.
Neil is analyzing two linear functions, f(x) and g(x). Will they intersect?-example-1
User Wli
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