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For Problems 1-4, write each equation in slope-intercept form and identify the y-intercept. 1. 6x - 2y = 12...

For Problems 1-4, write each equation in slope-intercept form and identify the y-intercept.
1. 6x - 2y = 12
2. 3x + 4y = 8
3. y - 3 = 2(x + 1)
4. y + 2 = -3(x - 4)
For Problems 5-8, find the slope of the graph of the linear equation and indicate whether the graph rises or falls.
5. y = 3x - 9
6. y = -2x + 5
7. 2x + 3y = 6
8. 4x - y = 8
For Problems 9-12, identify the function as linear or nonlinear.
9. y = 2x + 3
10. y = x^2 + 5
11. y = 1/x
12. y = 3x - 7

Answer

  1. Equation: y = 3x - 6. Y-intercept: (0, -6).

  2. Equation: y = -3/4x + 2. Y-intercept: (0, 2).

  3. Equation: y = 2x + 5. Y-intercept: (0, 5).

  4. Equation: y = -3x + 10. Y-intercept: (0, 10).

  5. Slope: 3. The graph rises.

  6. Slope: -2. The graph falls.

  7. Slope: -2/3. The graph falls.

  8. Slope: 4. The graph rises.

  9. Function is linear.

  10. Function is nonlinear.

  11. Function is nonlinear.

  12. Function is linear.

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