anonymous
  • anonymous
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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
anonymous
  • anonymous
@ganeshie8 @Hero @pooja195 @dan815 @hartnn @Michele_Laino
anonymous
  • anonymous
@Directrix @Daniel_Chernioglo @freckles @AaronAndyson @clamin @Loser66 @HelloKitty17

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More answers

FireKat97
  • FireKat97
so firstly, you want to try and find the equation of the line in the form y = mx + b
FireKat97
  • FireKat97
from the graph, we can see that the y intercept (b) is -4
FireKat97
  • FireKat97
and we can find the slope by picking any two points which lie on the line and applying \[slope = \frac{ y2 - y1 }{ x2 - x1 }\]
anonymous
  • anonymous
Oh okay, I think I remember this
FireKat97
  • FireKat97
okay cool :) so show me what you get for the equation of the line and we can go from there
anonymous
  • anonymous
Okay so I picked the points (1,-2) and (0,2) then It would be 2 - -2/ 0- -1 Right?
anonymous
  • anonymous
@FireKat97
Directrix
  • Directrix
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.
anonymous
  • anonymous
@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?
FireKat97
  • FireKat97
(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
Directrix
  • Directrix
Compare these two graphs to the given one.
anonymous
  • anonymous
@FireKat97 Yes Thank you for correcting me!
FireKat97
  • FireKat97
No problem :) @Marilynmonroe
Directrix
  • Directrix
That does not seem to be of much help. Let me graph on another program. We could test points.
anonymous
  • anonymous
@Directrix Okay (:
FireKat97
  • FireKat97
@Marilynmonroe did you work out the gradient again?
anonymous
  • anonymous
Yes would it be 0 - -2/ 2 - 1 = -2/1 ?
anonymous
  • anonymous
@FireKat97
FireKat97
  • FireKat97
so you have \[\frac{ 0 - - 2 }{ 2 - 1 } = \frac{ 2 }{ 1 } = 2\] but you set it up correct
FireKat97
  • FireKat97
but now that we have our m and b, we can sub these into y = =mx + b to find the equation the line
anonymous
  • anonymous
Okay so would it be y = 2x+ -4 ?
anonymous
  • anonymous
@FireKat97
Directrix
  • Directrix
Finally, my answer. y > 2x - 4
1 Attachment
Directrix
  • Directrix
The boundary line passes through (2,0) as it does on the given green graph.
anonymous
  • anonymous
@Directrix Thank you!!
Directrix
  • Directrix
Boundary line for the other is way off from that of the green.
Directrix
  • Directrix
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
anonymous
  • anonymous
@Directrix Its no problem. Thank you!
Directrix
  • Directrix
You are welcome.

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