Nyny1899
Nyny1899 Nyny1899
  • 01-03-2018
  • Mathematics
contestada

Will graphs for these equations show parallel lines? Explain.

y=6x+1
y=6x-5

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jimthompson5910 jimthompson5910
  • 01-03-2018
Yes these lines are parallel. They will never cross so there are no solutions to this system.

The reason why is because the two slopes for the equations are both 6 each. The equations are in y = mx+b form where m is the slope. The y intercepts are different (1 for the first; -5 for the second). So those two pieces of info lead to non-intersecting parallel lines. 
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