Algebra-1

To understand why the correct linear inequality based on the graph is y ≤ -9x + 33, let's break down the elements involved:

Identifying the Line:
The inequality involves a line with the equation y = -9x + 33.

Interpreting the Inequality y ≤ -9x + 33:
The inequality symbol ≤ indicates that y can be less than or equal to the values on the line y = -9x + 33.
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:

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