Question

Which of the following is the inequality for the graph?

Answers:

y > 2x - 4

y < 2x + 4

y > 1/2 x - 4

y < 1/2 x +4

Answer 1

@ganeshie8 @Hero @pooja195 @dan815 @hartnn @Michele_Laino

Answer 2

@Directrix @Daniel_Chernioglo @freckles @AaronAndyson @clamin @Loser66 @HelloKitty17

Answer 3

so firstly, you want to try and find the equation of the line in the form y = mx + b

Answer 4

from the graph, we can see that the y intercept (b) is -4

Answer 5

and we can find the slope by picking any two points which lie on the line and applying \[slope = \frac{ y2 - y1 }{ x2 - x1 }\]

Answer 6

Oh okay, I think I remember this

Answer 7

okay cool :) so show me what you get for the equation of the line and we can go from there

Answer 8

Okay so I picked the points (1,-2) and (0,2) then It would be 2 - -2/ 0- -1 Right?

Answer 9

@FireKat97

Answer 10

The answer is either y > 2x -4 or y > (1/2)x -4 because the dashed boundary line is shaded on the "above" section which indicated that this is a greater than situation.

Answer 11

@Directrix Thanks you! Thant makes sense. I'm sorry this is my first time doing this. So what do I do next to find the answer?

Answer 12

(1, -2) is correct, however (0, 2) does not lie on the line, I think you mean (2, 0), so try finding the slope again @Marilynmonroe

Answer 13

Compare these two graphs to the given one.

Answer 14

@FireKat97 Yes Thank you for correcting me!

Answer 15

No problem :) @Marilynmonroe

Answer 16

That does not seem to be of much help. Let me graph on another program.
We could test points.

Answer 17

@Directrix Okay (:

Answer 18

@Marilynmonroe did you work out the gradient again?

Answer 19

Yes would it be 0 - -2/ 2 - 1 = -2/1 ?

Answer 20

@FireKat97

Answer 21

so you have \[\frac{ 0 - - 2 }{ 2 - 1 } = \frac{ 2 }{ 1 } = 2\] but you set it up correct

Answer 22

but now that we have our m and b, we can sub these into y = =mx + b to find the equation the line

Answer 23

Okay so would it be y = 2x+ -4 ?

Answer 24

@FireKat97

Answer 25

Finally, my answer.

y > 2x - 4

Answer 26

The boundary line passes through (2,0) as it does on the given green graph.

Answer 27

@Directrix Thank you!!

Answer 28

Boundary line for the other is way off from that of the green.

Answer 29

I apologize for being such a dunce on this problem. My brain froze.
Congrats to you for hanging in there and not giving up. @Marilynmonroe

Answer 30

@Directrix Its no problem. Thank you!

Answer 31

You are welcome.