Graph three points for each equation on your own paper. Is the equation linear or nonlinear?
A. \( \frac{7}{2} = x - y \)
B. \( y = x^4 + x + 1 \)
C. \( y - 3 = \frac{5x}{2} \)
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).
B. \( y = x^4 + x + 1 \)
This is a nonlinear equation. Three points could be (0, 1), (1, 3), and (-1, 1).
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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