Question

Which description of the graph of the linear equality y ≥ 7x - 4 is correct?

A.) 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.
B.) 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.
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

Answer 1

B.) 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

Explanation:

edg. unit test 2020

Answer 2

To graph the inequality, y ≥ 7x - 4, we graph the equation y = 7x - 4. The y intercept of the graph is the value of y when x = 0, i.e. y = 7(0) - 4 or y = -4. The slope of the line is the coefficient of x, i.e. 7. Because, the inequality is greater that or equal to, the line is a solid line and the area above the line is shaded. Therefore, the description of the graph of the linear inequality that is correct is "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."