Algebra-1

This graph shows a graphical representation of a linear inequality system consisting of two inequalities. The graph includes a line and a horizontal line, as well as a shaded red region representing the solution set for these two inequalities.

First, we notice that the line is solid, indicating that it corresponds to a closed inequality that includes the points on the line itself. The line passes through the point (2,0), which we can use to determine the equation of the line. Since the line has an obvious slope of 2 (as the y-coordinate increases by 2 when the x-coordinate increases by 1), the equation of the line is y = 2x + b. We can substitute the point (2,0) into the equation to solve for the value of b: 0 ...