Write an inequality, in slope-intercept form, for the graph below. If necessary, use '<="for < or ">" for >.
(-3,0)
X
5
(0, -3)
-5

Given:

The graph of an inequality.

To find:

The inequality in slope intercept form.

Solution:

The slope intercept form is:

Where, m is slope and b is y-intercept.

From the given graph it is clear that the boundary line passes through the points (-3,0) and (0,-3).

From the given graph it is clear that the boundary line is a solid line and the shaded region lies above the line, so the sign of inequality must be "≥".

Therefore, the required inequality is .

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