9514 1404 393
Answer:
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
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.
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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