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## anonymous one year ago Write an equation of a line that passes through the point (7, 3) and is parallel to the line y = negative 2 over 3x + 3.

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1. anonymous

A. y = 3 over 2x − 3 B. y = 3 over 2x + 3 C. y = negative 2 over 3x + 23 over 3 D. y = negative 2 over 3x − 23 over 3

2. anonymous

@jim_thompson5910 @mathmate

3. laughoutloud

ok so we are going to use point slope form

4. laughoutloud

do you know the point slope formula

5. laughoutloud

@cheetah21

6. anonymous

is y2 -y1/x2-x1?

7. laughoutloud

no that is the formula for finding slope the formula for point slope is $y -y _{1}=m(x-x _{1})$

8. anonymous

Oh okay my bad so how do we do that ?

9. laughoutloud

well they pretty much give you everything what is the slope?

10. laughoutloud

*hint since it is parallel the slope are the same

11. anonymous

the slope is 2?

12. laughoutloud

is this how your equation looks $y=\frac{ 2 }{ 3 }x+3$ is so then the slope is 2/3x

13. anonymous

yeah that how it looks except the fraction is negative

14. laughoutloud

oh okay sorry so the slope is -2/3x

15. anonymous

its okay(: soo whats next

16. laughoutloud

now you plug in the values the slope for m and the point (7,3) for x(1) and y(1)

17. anonymous

so y - 3 = m(x-7) ?

18. laughoutloud

yes but plug in the slope for m

19. anonymous

Okay i changed the m to -2/3, now what cause im having a little trouble solving it

20. laughoutloud

solve for y

21. anonymous

7y times -2/3?

22. laughoutloud

k idk what you did to get that lol but when you distribute you should get $y-3=-\frac{ 2 }{ 3 }x-\frac{ 14 }{ 3 }$

23. anonymous

I got that i just dont know where to go from there

24. laughoutloud

wait it should be $y-3=-\frac{ 2 }{ 3 }+\frac{ 14 }{ 3 }$

25. laughoutloud

then combine like terms

26. laughoutloud

|dw:1440711443910:dw|

27. anonymous

y-3=16/3

28. laughoutloud

|dw:1440711463913:dw|

29. laughoutloud

answer should be $y=-\frac{ 2 }{ 3 }+\frac{ 23 }{ }$

30. laughoutloud

23 over 3

31. anonymous

so 25/3?

32. laughoutloud

sorry i made a mistake again $y=-\frac{ 2 }{ 3 }x+\frac{ 23 }{ 3}$

33. anonymous

so what should i solve first

34. laughoutloud

its done thats the answer

35. laughoutloud

is it one of the choices

36. anonymous

Oh i see my badddd, it is one of the choices...Thank youu!!

37. laughoutloud

your welcome:)

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