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4 December, 01:58

Consider the system of equations shown below.

y=-5x+1

y=-5x+10

When graphed, the system consists of two lines that will never meet, no matter how far they are extended. Why are the lines parallel?

The linear equations have the same slope and y-intercept.

The linear equations have different slopes and y-intercepts.

The linear equations have the same slope but different y-intercepts.

The linear equations have different slopes but the same y-intercept.

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Answers (1)
  1. 4 December, 02:08
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    The linear equations have the same slope but different y-intercepts. This is the right answer because you can see the x coefficient for both equations is - 5 but 1 and 10 are not the same and they are y-intercepts. These two are parallel so they will never meet.
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