Steph_Rawr352 2 years ago Which system of inequalities are graphed in this picture? (attached below)

1. Steph_Rawr352

2. nubeer

ok can u find the equations of line?

3. Steph_Rawr352

what do you mean?

4. nubeer

you know equation of line.. coordinate geometry? finding slope?

5. Steph_Rawr352

no /: I don't really understand this/:

6. nubeer

hmmm ok this would be hard then.. have u even find a slope or gradient? or studied of it?

7. Steph_Rawr352

no/: i'm sorry):

8. nubeer

lol no worries.. well then u need to memorize few formula's and stay with me on this one.. $slope = \frac{ y2-y1 }{ x2-x1 }$ the x's and y's are coordinates or points on graph.

9. nubeer

|dw:1355596018107:dw|

10. nubeer

pick one point and tell me it's coordinates/?

11. Steph_Rawr352

a point on the line or any point?

12. nubeer

point on line.

13. Steph_Rawr352

(2,-4)

14. nubeer

good.. now pick another one.

15. Steph_Rawr352

(-1,5)

16. nubeer

good these points are x2, y2 and the before one and x1,y1 now put these points in the slope formula

17. Steph_Rawr352

would it be 9/-3 ?

18. nubeer

yes. which is equal to -3 so m=-3 m is slope ok?

19. Steph_Rawr352

oh ok

20. nubeer

ok good.. now the other formula.. equation of line y = mx+c

21. nubeer

y = -3x +c right?

22. Steph_Rawr352

yeah

23. nubeer

ok now choose any point from the above two and put the value of x and y in this equation to find c

24. Steph_Rawr352

I got 5 = 3 + c ?

25. nubeer

yes find c..

26. nubeer

you doing it right dont worry.

27. Steph_Rawr352

c = 2 ? and ohk thanks

28. nubeer

yes c = 2 so your equation is y = -3x +2 y +3x = 2 as its told that its inequatlity so put an inequatlity sign .. and the line on graph is dotted so u will just put < or> sign not equal with them.. now tell me which region is shaded from the line.. above or below?

29. Steph_Rawr352

would it be > ? and above?

30. nubeer

yes.

31. Steph_Rawr352

ohhhh ohk i see what you're doing! so now to find the other inequality.. do i pick two point from the other line? btw thank you for helping me (:

32. nubeer

yes same way for other line .. and no worries.. anytime :)

33. Steph_Rawr352

thank you! I understand it much more (: I'll do the other line Thank you!

34. nubeer

:) you are most welcome.