Choose the graph that best models the inequality.
y < -4x - 2
A) Graph 1
B) Graph 2
C) Graph 3
D) Graph 4
Choose the graph that best models the inequality y < -4x - 2
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Choose the graph that best models the inequality.
y < -4x - 2
A) Graph 1
B) Graph 2
C) Graph 3
D) Graph 4
To graph the inequality ( y < -4x - 2 ), we first need to understand the corresponding equation ( y = -4x - 2 ). This is a linear equation with a slope of -4 and a y-intercept at -2.
1. Draw the line: Start by graphing the line ( y = -4x – 2 ). Since the inequality is strict (less than, not less than or equal to), we use a dashed line to indicate that points on the line are not included in the solution.
2. Shade the appropriate region: Since the inequality is ( y < -4x - 2 ), we shade below the line because we want all the points where y values are less than those on the line.
Now, compare this understanding with the provided graphs. Look for a dashed line with shading below it.
If you can identify which graph meets these criteria, that will be your answer. Without seeing the graphs, I can’t specify which letter corresponds to the correct graph.
If you’d like more extensive help on how to analyze the graphs, feel free to check the extended services page!