Final answer:
A point in the shaded region of the graph of a linear inequality is a feasible solution to the inequality. The shading indicates all points that satisfy the inequality, whether the line is horizontal or has a positive or negative slope.
Step-by-step explanation:
A point that lies in the shaded region of the graph of a linear inequality represents a feasible answer to the inequality. When graphing linear inequalities on a coordinate plane, the area shaded represents all the points that satisfy the inequality. If the inequality is like y > ax + b and it's a straight line with a positive slope, the shaded area will typically be above the line. In contrast, if the line had a negative slope, the shaded area could be below the line, indicating that the feasible region includes points that have lower y-values than any given point on the line.
If the inequality involves a horizontal line at some positive value, for example, y > c, where c is a positive number, the entire area above the horizontal line would be shaded, indicating feasibility for all those points. Similarly, a horizontal line at some negative value would shade beneath the line if the inequality is y < c. A point that lies in the shaded region of the graph of a linear inequality is a feasible type of answer to the inequality.