Is y=x-1 and y=-3x-5 many solutions, one solution, or no solution?

Answers (1)

y = x - 1
y = -3x - 5

You are given two equations of the form y=mx+b. The slope is represented by m, and they have different values of m, so they cross at exactly one point. The plot looks like this:
www.wolframalpha.com/input/?i=plot+y+%3D+x+-+1,+y+%3D+-3x+-+5

If they had the same value for m they would be parallel and never cross. If they had the same values of both m and b, they would be the same line.

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