Write the slope-intercept inequality for the graph below?

Given:

Given that the graph of the inequality.

We need to determine the equation of the inequality.

Slope:

Let us substitute the coordinates (3,-1) and (-3,-3) in the slope formula, we get;

Thus, the slope of the inequality is

Equation of the line:

The equation of the line can be determined using the formula,

Substituting the point (3,-1) and the slope , we get;

Thus, the equation of the line is

Equation of the inequality:

From the graph, it is obvious that the line of the graph is a dashed line then inequality is either < or >

Thus, the inequality of the equation must be either or

Since, the shaded portion of the graph contains the point (0,0), we need to determine the inequality that contains the point.

Hence, substituting (0,0) in the inequality , we get;

Thus, the coordinate (0,0) satisfies the condition, then the inequality of the given graph is

Hence, the inequality of the graph is

597

step-by-step explanation:

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