## anonymous one year ago 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

1. anonymous

2. anonymous

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

3. anonymous

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

4. FireKat97

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

5. FireKat97

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

6. FireKat97

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

7. anonymous

Oh okay, I think I remember this

8. FireKat97

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

9. anonymous

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

10. anonymous

@FireKat97

11. 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.

12. 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?

13. 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

14. Directrix

Compare these two graphs to the given one.

15. anonymous

@FireKat97 Yes Thank you for correcting me!

16. FireKat97

No problem :) @Marilynmonroe

17. Directrix

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

18. anonymous

@Directrix Okay (:

19. FireKat97

@Marilynmonroe did you work out the gradient again?

20. anonymous

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

21. anonymous

@FireKat97

22. FireKat97

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

23. FireKat97

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

24. anonymous

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

25. anonymous

@FireKat97

26. Directrix

Finally, my answer. y > 2x - 4

27. Directrix

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

28. anonymous

@Directrix Thank you!!

29. Directrix

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

30. 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

31. anonymous

@Directrix Its no problem. Thank you!

32. Directrix

You are welcome.