which description of the graph of the linear inequality y ≥ 7x - 4 is correct?\nthe graph will be a dashed…

which description of the graph of the linear inequality y ≥ 7x - 4 is correct?\nthe 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.\nthe 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.\nthe 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.\nthe 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.

which description of the graph of the linear inequality y ≥ 7x - 4 is correct?\nthe 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.\nthe 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.\nthe 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.\nthe 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.

Answer

Answer:

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:

Step1: Identify line type

For $y\geq7x - 4$, the $\geq$ sign means a solid line.

Step2: Find slope and y - intercept

The equation is in $y=mx + b$ form ($y = 7x-4$), where $m = 7$ (slope) and $b=-4$ (y - intercept).

Step3: Determine shading

Since $y$ is greater than or equal to $7x - 4$, we shade above the line.