## 1honey 4 years ago write an equation of the line containing the given point and parallel to the given line. (-5,3); 9x=2y+3

1. btm2011

parallel lines have same slope so y=mx+b then use point and slope to find b

2. btm2011

9x-3=2y y=9/2 x - 3/2 so slope is 9/2

3. btm2011

plug in 9/2 and -5 for x and 3 for y and solve for b

4. btm2011

are you following me

5. 1honey

yes

6. 1honey

after i plug it in than what is next

7. btm2011

what did you get for b

8. btm2011

b=51/2 so 3=-45/2 + b add -45/2 to both sides and change 3 to 6/2 so you can add 45/2 y=9/2 x +51/2

9. 1honey

thank you

10. btm2011

welcome...fan me

11. 1honey

I'm new to the site how do I do that

12. btm2011

click "Become a fan" in blue beside my name

13. btm2011

I'm new too so welcome

14. btm2011

do you have any more questions

15. 1honey

yes

16. 1honey

(7,9); 2x+y=3

17. btm2011

checking to see if it is a solution?

18. btm2011

2(7) + 9 = 3 14+ 9 = 3 NOOOO so not a solution

19. 1honey

write an equation of the line containing the given point and parallel to the given line (5,-5); 4x+3y=7

20. btm2011

transform to y=mx+b by subtracting 4x from bot h sides then divide both sides by 3 to get y =

21. btm2011

do that first and tell me what you get

22. 1honey

ok

23. 1honey

would it b 12

24. btm2011

y=-4/3x + 7/3 now plug in (-5,5) and slope = -4/3 into y=mx+b and solve for b

25. btm2011

(5, -5) sorry

26. btm2011

-5=-4/3(5) + b

27. btm2011

(5, -5) sorry

28. btm2011

-5=(-4/3)(5)+b

29. btm2011

-5=-20/3 +b add 20/3 so 5 which is 15/3+20/3=35/3

30. btm2011

-15/3 + 20/3 = 5/3

31. btm2011

b=5/3 same slope of -4/3 so y=-4/3x +5/3

32. btm2011

got it

33. 1honey

no

34. btm2011

what is wrong

35. btm2011

do you need me to put it all together in one post

36. 1honey

37. btm2011

4x+3y=7 solve for y -4x -4x 3y=7-4x or 3y=-4x+7 ---------- 3 y=-4/3 x + 7/3 so slope is -4/3 parallel lines have same slope so use m=-4/3 and (5, -5) and plug into slope-intercept form to find "b"-y intercept y=mx+b -5=-4/3(5)+b -5=-20/3 + b +20/3 +20/3 -15/3 + 20/3 = b 5/3= b so y=-4/3x + 5/3

38. btm2011

got it now?