381
RCMultiple Choice

Unit Summary — Cumulative exam

Question 381 • Career Explorations - EL3401

Which description of the graph of the linear inequality y > 3x – 8 is correct?

Answer
A
The graph will be a dashed line with a y-intercept of negative eight and a slope of three. The graph will be shaded below the line.
B
The graph will be a solid line with a y-intercept of three and a slope of negative eight. The graph will be shaded above the line.
C
The graph will be a solid line with a y-intercept of three and a slope of negative eight. The graph will be shaded below the line.
D
The graph will be a dashed line with a y-intercept of negative eight and a slope of three. The graph will be shaded above the line.

Explanation

In y > 3x − 8, the slope is 3 and the y-intercept is −8. Because the inequality is strict (> rather than ≥), the boundary line is dashed. The solutions have y-values greater than those on the line, so the region is shaded above it. Therefore, the correct description is a dashed line with a y-intercept of negative eight and a slope of three, shaded above the line.

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