## candrie 3 years ago Slope 0 and y intercept (0,6) equation is y=?

1. vf321

Well, do you know in the equation of a line \[y=m(x-h)+k\] what each letter means?

2. candrie

its been a long time

3. vf321

Well, let's try to figure it out. How about this. Given two points, what's the slope of the line they make?

4. candrie

y=mx+b

5. candrie

im wrong

6. vf321

No... that's an equation for the line. How about you tell me this. If you have \[p_1=(x, y)\] and \[p_2=(h, k)\], then what is the slope s you get between them?

7. panlac01

she just gave the slope, so that's a line

8. candrie

0

9. panlac01

all she has to do is plug it in the slope-intercept formula

10. vf321

Hmm... nvm. I was trying to teach, @panlac01 . Plug-n-chug is easy.

11. candrie

im working on a test which deadline is by 11pm pst and im desperate for any help i can get

12. panlac01

listen to VF

13. panlac01

but you almost nailed it, candrie :)

14. vf321

Okay, @candrie , when you're at the y-intercept, what's the coordinate pair?

15. candrie

math is tough for me but i am awesome in english and everything else

16. vf321

Oh the problem gives it to you. What is the y-intercept pair?

17. candrie

0,6?

18. vf321

yes

19. vf321

Do you agree that the y-intercept is on the line, @candrie ?

20. candrie

yes

21. precal

|dw:1344737196994:dw| in the end, remember to connect your final solution to its graph

22. vf321

If a point is on a line, then its x and y values, when inserted into the formula you gave,\[y = m x +b\], must hold true.

23. vf321

So put in the y-intercept's values into the formula.

24. candrie

y=0(0)+6

25. vf321

Well, I was trying to get you to say: 6=m(0)+b, so b = 6. But since you know what b and m are already, what's your question?

26. candrie

just needed the equation

27. vf321

Well it is y = m x + b. The difference is that my equation is y = m (x - h) + k But they're really the same because y = m x - mh + k y = m x +(k-mh) and k-mh =b

28. panlac01

y=mx+b y=0x+6 y=_____

29. candrie

y=x+6?

30. vf321

Multiply by 0...

31. panlac01

anything multiplied to zero is _____

32. candrie

0

33. panlac01

therefore y=0x+6 (zero multiplied by x, plus six) y=_____

34. panlac01

35. candrie

y=6

36. candrie

o wait

37. candrie

y=0x+6?

38. panlac01

you got it already, but 0x can be further simplified by taking it away of the universe

39. candrie

ok

40. panlac01

out of the universe

41. candrie

42. precal

or y=6

43. precal

|dw:1344738155919:dw|

44. candrie

yes i figured that after i wrote it

45. precal

try to connect the graphs with the information given, it will help you learn the concepts better