Question

Which inequality matches the graph?

Answer 1

−2x + 3y > 7
2x − 3y < 7
−3x + 2y > 7
3x − 2y < 7

Answer 2

Get y alone by solving, then compare the slopes y > or < mx+b (m is slope) and the y intercept.

Answer 3

so, whats next?

Answer 4

Then you have to see which way it is being shaded in and compare it to the sign of the matching inequality.

Answer 5

i dont know how?

Answer 6

Did you find the slop and y intercept? It will help narrw it down

Answer 7

no, but i think the answer its B? ITS RIGHT?

Answer 8

@Jackellyn

Answer 9

The answer is B, but why? I'll give you a shortcut method that might help you.

1. First, pick any point that the inequality would work for; so any point in the region. The easiest is (0,0). If you substitute in (0,0) into all the equations, only B and D work, right?

2. So we've narrowed it down to being either B or D. If you rearrange the equations (only B or D, because we know it's one of those) we're looking for a line that has a positive slope, because the slope of the line in the picture is positive, right? So, we can rearrange the equations, as @jackellyn said, in the form y < mx + b.
If m is a negative number, it means the slope is negative. If m is a positive number, the slope is positive. We want a positive slope, so we want a positive m value.

Answer 10

D) 3X - 2y <7 ?

Answer 11

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Answer 12

Oops my bad, I forgot to mention one last thing.
If we get positive slopes for both B and D (which we did) then we need to consider the y intercepts too.
In fact the answer is D (not B, sorry).
It's because, in the picture it shows us that the y-intercept is between -3 and -4.
The y intercept for B is -7/3, which is about -2.3.
The y intercept for D is -7/2, which is about -3.5.

Answer 13

yea its D! THANK YOU SO MUCH!

Answer 14

No problem, sorry for the confusion.

Answer 15

CAN YOU HELP ME WITH ONE MORE?

Answer 16

Ok, but create a new question for it.