## anonymous one year ago Audrey is trying to find the equation of a line parallel to y = 2 over 3x −5 in slope-intercept form that passes through the point (−6, −1). Which of the following equations will she use? y − (−6) = 2 over 3(x − (−1)) y − (−1) = 2 over 3(x − (−6)) y − (−6) = 3 over 2(x − (−1)) y − (−1) = 3 over 2(x − (−6))

1. anonymous

@Nnesha

2. Nnesha

y = 2 over 3x −5 what is the slope of this line ? what do you know about parallel lines ?

3. anonymous

i know that parallel lines are two lines that lie within the same plane and never intersect and im not sure the slope would be

4. Nnesha

y = mx+ b is a slope intercept form where m is slope and b is y-intercept so what is m in this equation ??$\huge\rm y =\frac{ 2}{ 3}x −5$

5. anonymous

m= 2/3 and b= -5 right (:

6. Nnesha

yes right so parallel lines should have same slope so equation of new line should be the same :-)

7. Nnesha

and then point slope formula $\huge\rm y-y_1 = m(x-x_1)$ where m is slope plug in (x_1 ,y_1) by order pair

8. anonymous

ok so 2/3 would be y1 i think and then -8 would be M is that right ?

9. anonymous

@Nnesha are you there?

10. Nnesha

2/3 is slope

11. Nnesha

how did you get -8 given order pair is (-6,-1) first number is x_1 and 2nd one is y_1

12. anonymous

oh ok sorry nnesha would it be ok if you explain it alittle better sorry im still learning about this stuff

13. Nnesha

alright so your answer choices are in point slope form which is $\huge\rm y-y_1=m(x-x_1)$ where m is slope and $(x_1,y_1)$ is the given order pair so just substitute values into the formula m is slope like i said parallel lines should have the same slope :-)

14. Nnesha

if slope of first line is 2/3 slope of 2nd line is also 2/3

15. anonymous

ohhhh ok i understand now so should the equation look like this then |dw:1434490463370:dw|

16. Nnesha

hmm well in order pair (x,y) first number is x and 2nd one is y so -6 is x or -1 ?

17. anonymous

-1 i think

18. Nnesha

i just said x comes first and then y like (x,y) like this

19. anonymous

sorrry sorry i meant x really sorry

20. Nnesha

(-6,-1) ^x ^y

21. Nnesha

|dw:1434490938070:dw|

22. Nnesha

substitute x and y values :-)

23. Nnesha

hey u got it ?

24. anonymous

no not yet sorry my parent had made me go clean the kitchen

25. Nnesha

alright let me know whn u r ready :-)

26. anonymous

|dw:1434495362798:dw| @Nnesha sorry for the long wait (:

27. Nnesha

that's right

28. Nnesha

it's okay better than never

29. anonymous

(: thank you for your help