Algebra-1

To understand why the correct linear inequality based on the graph is y ≤ 4x + 5, let's break down the elements involved:

Identifying the Line:
The inequality involves a line with the equation y = 4x + 5.

Interpreting the Inequality y ≤ 4x + 5:
The inequality symbol ≤ indicates that y can be less than or equal to the values on the line y = 4x + 5.
Graphically, this means the region of interest is the area below the line, including the line itself. So it must be a solid line instead of a dashed line.

Shaded Region:
In the graph, if the area below the line y = 4x + 5 is shaded, it confirms that all points in that region satisfy the inequality y ≤ 4x + 5.
Points on the line also sati...