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

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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
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Other answers:

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

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