a graph passes through the points (0,2),(1,3), and (2,4). Does this graph represent a linear function or a non linear function?

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  linear

Step-by-step explanation:

The slope of the line between the first pair of points is ...

  m = (y2 -y1)/(x2 -x1)

  m = (3 -2)/(1 -0) = 1/1 = 1

The slope of the line between the second pair of points is ...

  m = (4 -3)/(2 -1) = 1/1 = 1

The slopes are the same, so the points are on the same line. The graph is that of a linear function.