# Which is the graph of 2x+3y>-3

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## Question:

Which is the graph of 2x+3y>-3

2x+3y>-3

First we forget the inequality sign

2x+3y=-3

Then we solve for y

3y = -3-2x

3y=-2x-3

y=-\frac{2x}{3}-1

which is of the form y =mx +b

So here slope m is 2/3 and y intercept is -1 .

First we graph .

And then we have to check, which part need to be shaded . And for that , we take a testing point. Let it be (0,0) .

Now we plug this point in the given inequality that is 2(0)+3(0)>-3

0+0>-3

0>-3 which is true. SO we have to shade that part of the graph where point (0,0) belongs .

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