8
QuizMultiple Choice

Systems of Equations and Inequalities — Test

Question 8 • CMS 2026-2027 NC Math 1 CREDIT RECOVERY

Which description of the graph of the linear inequality y is greater than or equal to 7 x minus 4 is correct?

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

Explanation

The inequality is y ≥ 7x − 4, which is in slope-intercept form y = mx + b. Its slope is 7 and its y-intercept is −4. Because the inequality includes equality (≥), the boundary is a solid line, and because y is greater than the line’s value, the region above the line is shaded. Therefore, choice C is correct.

AI-written and checked against the verified answer.

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