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Graph three points for each equation on your own paper. Is the equation linear or nonlinear?

Graph three points for each equation on your own paper. Is the equation linear or nonlinear? List the 3 points you used.
A. \( \frac{7}{2} = x - y \)
B. \( y = x^4 + x + 1 \)
C. \( y - 3 = \frac{5x}{2} \)

Answer

  1. A. \( \frac{7}{2} = x - y \)
    This equation can be rewritten as \( y = x - \frac{7}{2} \), which is a linear equation. Three points on this line could be (0, -3.5), (1, -2.5), and (2, -1.5).

  2. B. \( y = x^4 + x + 1 \)
    This is a nonlinear equation. Three points could be (0, 1), (1, 3), and (-1, 1).

  3. C. \( y - 3 = \frac{5x}{2} \)
    This equation can be rewritten as \( y = \frac{5x}{2} + 3 \), which is a linear equation. Three points on this line could be (0, 3), (2, 8), and (-2, -2).

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