NEED HELP - MEDALS WILL BE GIVEN

Which inequality matches the graph?

Question

NEED HELP - MEDALS WILL BE GIVEN

Which inequality matches the graph?

anonymous · Answer

attachment

anonymous · Answer

To answer this question, you should first write the boundary line in y=mx+b form.

anonymous · Answer

Is this a multiple choice?

anonymous · Answer

ANSWER CHOICES

-2x + 3y
2x - 3y
-3x + 2y
3x - 2y

anonymous · Answer

Can you please include the signs of the inequalities as well in your answers?

anonymous · Answer

oh wait there incomplete (oops)

> 7
< 7
greater than or = to 7
less than or = to 7

anonymous · Answer

Excellent, now we can start eliminating some of them by virtue of their slopes.

anonymous · Answer

Can you tell me the slope of the boundary line?

anonymous · Answer

I always had a hard time with these

anonymous · Answer

First of all, if the line is increasing, then the slope must be positive right?

anonymous · Answer

I guess

anonymous · Answer

Examining all of the choices you provided, the slopes are all positive. Either 2/3 or 3/2.

anonymous · Answer

Right. But how do you find which one?

anonymous · Answer

If the slope is less than 1, the line is angled less than 45 degrees. If the slope is greater than 1, the line is angled above 45 degrees.

anonymous · Answer

Which of 2/3 or 3/2 makes more sense in this problem?

anonymous · Answer

um, B?
I dunno, I don't really understand much

anonymous · Answer

Yes, slope = 3/2 is correct, as it is steeper than 45 degrees.

anonymous · Answer

So we are left with answers C and D.

anonymous · Answer

Oh... I get it.

anonymous · Answer

Excellent, now do you understand how to get the inequality?

anonymous · Answer

Yeah I thinks so. Thank you!