Which description of the graph of the linear equality y > 3x - 8 is correct?

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

The correct answer is:

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:

The related equation for this inequality is y = 3x - 8. This equation is in slope-intercept form, y = mx+b, where m is the slope and b is the y-intercept. For this equation, 3 is the slope and - 8 is the y-intercept.

The line for the related equation will be dashed, since it is strictly greater than and not "greater than or equal to." This means the line is not included in the solution, so the line is dashed.

The region above the line will be shaded, since the inequality is greater than.

The answer is D because the dashed line indicates that the solution is above y and doesn't include y. It is shaded above the line because it's greater than. The slope is 3 over one and the y intercept is - 8.