Write the slope-intercept inequality for the graph below. If necessary, use <= for s or >= for
(3,-1)
(-3,-3)

y > 1/3x - 5

Step-by-step explanation:

First, use the points to find the slope.  Use the equation for slope.

Now, you need to find the y-intercept.  The y-intercept is the point on the graph that crosses the y-axis.  By looking at the graph, the y-intercept seems to be -5.

This gives you  1/3x - 5  for slope-intercept form.  

Now, you need to find which equality to use.  Because the line is dotted, it cannot be ≤ or ≥.  This leaves us with < and >.  To choose between the two, you need to test points.  Test a point to see if it matches the solution.  The point should be on the line but in the shaded area.

I'm gonna pick (0, 0).  This point is not on the line, and it is in the shaded region.

y   1/3x - 5

0   1/3(0) - 5

0   0 - 5

0 > -5

The equality > is the correct one.  This gives the equality  y > 1/3x - 5.

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step-by-step explanation:

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