Practice Exam

Question 19 • Mathematics I

Which description of the graph of the linear inequality y is greater than 3 x minus 8 is correct?

Answer

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.

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.

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.

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.

Explanation

The inequality is y > 3x − 8, which is in slope-intercept form y > mx + b. Its slope is 3 and its y-intercept is −8. Because the inequality is strict (>), the boundary line is dashed, and the solutions are shaded above the line. Therefore, the correct description is a dashed line with y-intercept −8 and slope 3, shaded above.

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