Choose the graph that best models the inequality.
y < -4x - 2
A.
B.
C.
D.
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To model the inequality ( y < -4x - 2 ), we first need to understand the graph of the equation ( y = -4x - 2 ). This is a linear equation with a slope of -4 and a y-intercept of -2.
1. Graph the boundary line: Since the inequality is “less than” (and not “less than or equal to”), the boundary line will be dashed. This indicates that points on the line are not included in the solution set.
2. Shade below the line: Because the inequality is ( y < -4x - 2 ), we need to shade the region below the dashed line. This represents all the points where the y-values are less than the values on the line.
When looking at the options A, B, C, and D, choose the graph that has a dashed line representing ( y = -4x – 2 ) with shading below the line.
Make sure the line has a negative slope, steeply descending from left to right, and passes through the point (0, -2).
If you have these details in the answer options, you should be able to identify which graph correctly represents the inequality. If you need help with the specific graphs, let me know!