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2 votes
Can someone please help me answer the question in the picture, with explanation please

Can someone please help me answer the question in the picture, with explanation please-example-1
User Asaf
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7.2k points

1 Answer

5 votes

D

Your circled answer is correct.

The x intercept is -3 and the y intercept is 2 as shown on the graph.

In option D, set x = 0.

3y-2x=6

3y =6

y=2 >>> that's the Y intercept

Now set y = 0.

3y-2x=6

-2x =6

x =-3 that's the x intercept

So that's how we know it's equation D.

A quick way to check that the shading is correct is to substitute (0,0) and see if you shaded the correct side.

3y-2x<=6

3(0) - 2(0) <=6

0<=6 so that shows that the point (0,0) should be shaded and it's correct.

User Zivka
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7.6k points