Write a system of linear inequalities to represent each graph with this graph asap, 12 points!

So since both of these lines are solid lines and not dashed, that means that the inequalities will have either ≤ or ≥.

Starting with the vertical line, since every point on that line is (0,y), this means that this line is x_0. And since the shaded region on this line is to the left of this line, this means that this inequality is x ≤ 0.

Now with this next line, I'll be forming it using the slope-intercept form (y = mx+b, m = slope and b = y-intercept). From looking at the graph, we can tell that the y-intercept is (-5,0). To find the slope, the equation is . For this, the two points I'll be using are (-4,-8) and (8,1).

Our equation will look and be solved like this:

And since the region shaded is below the line, ≤ symbol will be used with our inequality.

Using the information above, our inequality is y ≤ 3/4x - 5.

In short, the system of inequalities is x ≤ 0 and y ≤ 3/4x - 5.

step-by-step explanation:

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