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Choose the graph that best models the inequality

Choose the graph that best models the inequality.
y < -4x - 2 Option 1: Option 2: Option 3: Option 4:




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1 Answer

  1. To model the inequality ( y < -4x - 2 ), you need to first graph the corresponding equation ( y = -4x - 2 ). This is a linear equation where:

    1. The slope (m) is -4, which means the line will slope downwards.
    2. The y-intercept (b) is -2, meaning the line crosses the y-axis at the point (0, -2).

    For the inequality ( y < -4x - 2 ), the area below the line will be shaded, and since it's a “less than” inequality, the line itself will be dashed, indicating that points on the line are not included in the solution.

    When looking at the options, choose the graph that has:

    – A dashed line representing ( y = -4x – 2 ).

    – Shaded region below that line.

    If you can identify such a graph among the options provided, that would be your answer. For further clarification or specific options to analyze, please check the extended services page!

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