Choose the graph that best models the inequality.
y < -4x - 2
1. Graph A
2. Graph B
3. Graph C
4. Graph D
Choose the graph that best models the inequality.
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Choose the graph that best models the inequality.
y < -4x - 2
1. Graph A
2. Graph B
3. Graph C
4. Graph D
To determine which graph best models the inequality ( y < -4x - 2 ), we first need to analyze the inequality.
1. Identify the boundary line: The equation ( y = -4x – 2 ) is a straight line with a slope of -4 and a y-intercept at -2. The line itself is used to separate the regions defined by the inequality.
2. Understanding the inequality: The inequality ( y < -4x - 2 ) indicates that we are interested in the area below the line, not including the line itself since the inequality is strict (i.e., it uses “<" rather than "≤").
3. Check possible graphs: Look for a graph that has a solid line indicating a boundary point or a dashed line for the inequality. We want to confirm that the region below the line is shaded to indicate that the points in that region satisfy the inequality.
Now, based on this information, you should identify the graph that features:
– A dashed line (since it’s “<")
– The area below the line shaded.
Choose your answer accordingly. If you need more detailed support in selecting among the graphs, I encourage you to check the extended services page for further assistance!