Modeling with Systems of Linear Inequalities — Unit test

Question 10 • EAP-Algebra Functions and Data Analysis A CR

Which description of the graph of the linear inequality y ≥ 7x – 4 is correct?

Answer

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.

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.

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.

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 in slope-intercept form, y ≥ mx + b, so its slope is 7 and its y-intercept is −4. Because the inequality includes equality (≥), the boundary line is solid. Since y is greater than or equal to the line’s values, shade above the line; this matches the description in choice B.

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