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## LifeIsADangerousGame 4 years ago I made a mistake...I have 3 questions left :/

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1. LifeIsADangerousGame

This is the first question:

2. LifeIsADangerousGame

I need to know how to graph it

3. myininaya

don't forget your little x guy after the 3/2

4. myininaya

you can do that if you want

5. LifeIsADangerousGame

Oh yea, sorry, forgot about that

6. myininaya

|dw:1328068801726:dw|

7. myininaya

|dw:1328068824020:dw|

8. myininaya

|dw:1328068854662:dw|

9. myininaya

|dw:1328068878164:dw|

10. LifeIsADangerousGame

Ohh, ok! Thank you :)

11. LifeIsADangerousGame

Here's the second one:

12. LifeIsADangerousGame

I know the slope-intercept form (y = 4/8x right?), I need help with the last two

13. myininaya

i'm not getting that

14. myininaya

so we have 4x-8y=8 right?

15. LifeIsADangerousGame

Right

16. myininaya

we want to write in this form y=mx+b so we need to solve for y

17. LifeIsADangerousGame

right

18. myininaya

$4x=8y+8$here i added 8y on both sides

19. myininaya

$4x-8=8y$ here i subtracted 8 on both sides

20. myininaya

$\frac{4x-8}{8}=\frac{8y}{8}$ here we divided 8 on both sides

21. LifeIsADangerousGame

You mean 4x right?

22. myininaya

$\frac{4x}{8}-\frac{8}{8}=y$ $\frac{1}{2}x-1=y$ now we are done! :)

23. myininaya

whats the question?

24. myininaya

$\text{ we have } y=\frac{1}{2}x-1$

25. LifeIsADangerousGame

Oohh, ok, so how do I get a perpendicular line to that?

26. myininaya

slope of a perpendicular line is going to have negative reciprocal slope of 1/2

27. myininaya

$y=\frac{-2}{1}x+b$ see i just flipped the 1/2 and put a negative in front of it

28. myininaya

$y=-2x+b$

29. myininaya

so this is the form for any perpendicular line of y=x/2-1

30. myininaya

to*

31. LifeIsADangerousGame

Hmm

32. myininaya

now we are given a point on this line (1,2)

33. myininaya

so instead of using y=-2x+b we could use y-y_1=-2(x-x_1) since it ask for point slope form

34. LifeIsADangerousGame

y - y1 = -2(x - x1) and that's y - 2 = -2(x - 1)?

35. myininaya

yep! :)

36. LifeIsADangerousGame

Thanks! Is it alright if we do the last one?

37. myininaya

ok shoot

38. LifeIsADangerousGame

It's graphing again

39. myininaya

solve that inequality for y first

40. LifeIsADangerousGame

s$x + 3y \le 6 = x + 3y -x \le -x$ is that right so far?

41. LifeIsADangerousGame

it cut it off, the end should be -x + 6

42. myininaya

$3y \le -x+6?$

43. LifeIsADangerousGame

yea

44. LifeIsADangerousGame

It keeps adding and taking away stuff

45. LifeIsADangerousGame

so would it be $y \le -x/3$$+ 2?$

46. myininaya

$y \le \frac{-1}{3}x+2$

47. myininaya

on that is what you mean

48. myininaya

yes! :)

49. LifeIsADangerousGame

so that means that I go to the left once, and up three times?

50. myininaya

no top is rise and bottom is run

51. LifeIsADangerousGame

Wait, I go to the 2 for y intercept actually

52. myininaya

yep and then use the slope to find the next point

53. myininaya

|dw:1328070755018:dw|

54. myininaya

but we have y<-x/3+2

55. myininaya

|dw:1328070825319:dw|

56. myininaya

y< means we shade everything below the graph

57. LifeIsADangerousGame

Ok! Thank you! I think I finally got it :P

58. LifeIsADangerousGame

YAY! !oo% Thank you Myininaya!

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