Final answer:
Option E (incorrectly omitted in the question) is correct as all options A, B, and C are linear equations. The equations given, y = 1/3 - 2 and x = 4, can be graphed as a horizontal and a vertical line respectively, and then shading the applicable area to represent the inequalities.
Step-by-step explanation:
Graphing Linear Equations and Inequalities
To determine which among A, B, C, and D is a linear equation, recall that a linear equation takes the form y = mx + b, where m is the slope and b is the y-intercept. Examining the options provided:
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- A. y = -3x - this is linear.
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- B. y = 0.2 + 0.74x - this is linear.
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- C. y = -9.4 - 2x - this is linear.
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- D. A and B - this option is incorrect as all options A, B, and C are linear equations.
Therefore, the correct answer is E. A, B, and C, meaning all three options are linear equations. When graphing linear inequalities like y = 1/3 - 2 and x = 4, you want to graph the lines that represent each equation and then shade the region of the graph that satisfies the inequality. For x = 4, this would be a vertical line where x is always 4, and for y = 1/3 - 2, a horizontal line would be drawn for y at the value -5/3.