## MauriceLong 2 years ago Write an equation of the line containing the given point an parallel to the given line. (7,-6); 7x-9y=4 The equation of the the line is Y=

1. edwardp

7x-9y=4 => slope = 7/9 the equation of the line will be y=mx+b -6=(7/9)*7+b and then solve for b

2. MauriceLong

im still confuse with this..

3. edwardp

which step?

4. edwardp

the line is parallel to the given line, so it has the same slope

5. MauriceLong

how would i write the equation for Y=

6. mark_o.

hi, first before we get the parallel line equation,: from this equation 7x-9y=4 what is y=?

7. MauriceLong

y= 7/9x-4/9

8. mark_o.

ok good with this line y= 7/9x-4/9 what is your slope m=?

9. mark_o.

hmm seems like you dont like an interaction question and answer,,... :D ok after getting the slope of this line y= 7/9x-4/9 , also get the slope of parallel to this line then form an equation of line from the point (7,-6) with that slope of parallel line.. ..

10. mark_o.

@ MauriceLong did you get it ?

11. MauriceLong

the slope is 4

12. MauriceLong

ok

13. MauriceLong

can u help me solve this problem please

14. mark_o.

im sorry the slope of parallel line is the same m1=m2 so you can form another line using this slope m1, using the point(7,-6) and the formula y1-y=m(x-x1)

15. MauriceLong

ok. i am getting a better understanding on this so far.

16. mark_o.

from y= mx + b y= 7/9x - 4/9 what is the slope m?

17. mark_o.

yesss just answer what i ask you and you will get it ... :D

18. mark_o.

try to compare the formula to the one you answered on y=7/9 x -4/9

19. MauriceLong

would i have too subtract 7/9-4/9

20. mark_o.

by comparing the formula from y= mx + b y= 7/9x - 4/9 what is the slope m? we know that b=4/9, what is slope m?

21. mark_o.

no you cant subtract because 7/9 x has an x with it and the 4/9 has no x.. so they are different terms

22. MauriceLong

ok

23. mark_o.

if it would be 7/9x - 4/9 x then its ok to subtract but this time they are not.. :D go ahead you can ask me more question what do you want to know

24. MauriceLong

|dw:1354520274544:dw|

25. MauriceLong

im having a hard time solving this problem

26. mark_o.

ok i will show you the easy way of doing the solution of it,,, :D

27. MauriceLong

ok

28. mark_o.

we want to know the slope m of this particular line |dw:1354578182118:dw|

29. mark_o.

from y= mx + b y= 7/9x + - 4/9 we know that b=-4/9,, what is slope m=?

30. MauriceLong

I dont know how too get the slope. Confuse.

31. MauriceLong

do i subtract -4/9 too both sides

32. mark_o.

i will give you more examples if y= 3x +4... the slope of this is m=3 and b=4 for f(x)=1/3 -7 the slope of this line is m=1/3 and b=-7

33. MauriceLong

so the slope is 4/9

34. mark_o.

from y= mx + b y= 7/9x + - 4/9 that is b=-4/9,, what is m?

35. MauriceLong

m=7/9

36. mark_o.

yessss : correct :D

37. mark_o.

so now that you know m=7/9, we also have the point (x1,y1)=(7,-6); use that given to the formula y-y1=m(x-x1)

38. MauriceLong

y-y1=7/9(x-x1)

39. mark_o.

correct but you also have to sub what is x1 and y1 (x1,y1)=(7,-6); sub thius to what you have done you are getting closer :D

40. MauriceLong

7x-6y

41. mark_o.

this is what you said the answer y-y1=7/9(x-x1) all you need to do is to sub what is x1 and y1 there

42. mark_o.

43. mark_o.

if you have a point of (7,-6) your x1=7 and y1=-6... therefore this can be like this (x1,y1)=(7,-6)

44. mark_o.

45. MauriceLong

y=7/9(x-6)

46. mark_o.

y - y1 = 7/9 ( x - x1 ) y - ____ = 7/9 (x - ______)

47. MauriceLong

y-6=7/9(x-7)

48. mark_o.

the point is (7 , -6) ( x1,y1) x1=7 and y1= -6 careful on negative sign, put the negative sign on 6... you are getting closer to the correct answer

49. mark_o.

y - y1 = 7/9 ( x - x1 ) y - ____ = 7/9 (x - ______) give it more try ill tell you if you are correct :D

50. mark_o.

51. mark_o.

y - y1 = 7/9 ( x - x1 ) .... y - ____ = 7/9 (x - 7) give it more try on the y, ill tell you if you are correct :D - - 6 is not= -6

52. mark_o.

y - y1 = 7/9 ( x - x1 ) y - -6 = 7/9 (x - 7) try to simplify this more