Please check my answers

9514 1404 393

  linear: blue graph, Table 2, 2x-3y=7, y=-4

  nonlinear: red graph, Table 1, Table 3, y=2x^2+4, y=3/x+2

Step-by-step explanation:

It is hard to check answers when you don't know the question. Apparently, there are additional features of the question that are not shown.

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The equation of the red graph is y=(x+5)³. (nonlinear)

The equation of the blue graph is y=2x-6. (linear)

The equation of Table 1 is y=x². (nonlinear)

The equation of Table 2 is y=2x+4. (linear)

The equation of Table 3 is y=|x|. (nonlinear)

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You have correctly classified the equations we see. We can't tell if there are more that we don't see.

The tables all have sequential values of x, so the way to tell linear/non-linear is by looking at first differences in the y-values:

  Table 1: 4-1 = 3; 9-4 = 5 . . . . different, so non-linear

  Table 2: 8-6 =2; 10-8 = 2; others are also 2 . . . . all the same, so linear

  Table 3: 1-2 = -1, 0-1 = -1, 1-0 = 1 . . . . different, so non-linear