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Parallel or Coincident lines

Which of the following pair of equations form parallel lines? and which form coincident lines? Please explain how you can tell which is which.

1. 2x + 2Y = 90 Parallel or Coincident? Why?

   y= 10 - x

2. y + x = 25  Parallel or Coincident? Why?

   2x = 50 - 2y

 

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1 Answer

1. Parallel because both lines have the same slope of -1 but different y-intercepts (45 and 10).

2. Coincident because the second equation can be converted to y + x  = 25, which is the same as the first equation.

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