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Which of these will NOT graph as a line on a two-dimensional graph?

  1. x+2y=4

  2. y=3x+7

  3. 3x+y=6

  4. y^2=2x

The correct answer is: y^2=2x

The other options, A, B, and C, contain linear equations where the variables x and y are raised to the power of 1 (x^1 and y^1). These are known as linear equations and will always graph as a line on a two-dimensional graph. However, option D contains an equation where the y variable is squared (y^2). This makes it a non-linear equation and when graphed, it will not appear as a straight line on a two-dimensional graph.