## aspenfields 2 years ago how do i find the slope and y-intercept of the graph 3x – 2y + 8 = 0.

1. rizwan_uet

separate y on LHS you will get what you want

2. cozyfire

to get the y intercept substitute the values of x with 0

3. cozyfire

to get the slope y=mx+c so you need to transform the equation

4. cozyfire

m is the slope

5. cozyfire

3x-2y+8=0 2y=3x+8 divide the whole equation to 2 u will get y=3/2(x)+4 so the slope is 3/2

6. aspenfields

ok so once i get the y intercept why do i divide it by 2?

7. amistre64

you can go about moving everything around; or, you can just determine the slope and y intercept in 3 moves. 1: y int is the value of y when x=0 2: the slope is the change in y when x changes by 1; so find the value of y when x=1 3: subtract the value when x=0 from the value when x=1 and you have your slope

8. rizwan_uet

as i told you just separate y on LHS you will get y = 3/2x+4 now compare it with y=mx+b to get slope and y-intercept here b= y-intercept and m = slope do it now

9. aspenfields

what does LHS mean?

10. rizwan_uet

left hand side

11. aspenfields

oh ok

12. rizwan_uet

now what you got??

13. aspenfields

im not sure. and where the 8 go?

14. rizwan_uet

3x – 2y + 8 = 0. subtract 8 from both sides what you get???

15. aspenfields

3x-2y=-8?

16. rizwan_uet

exactly

17. rizwan_uet

now subtract 3x from both sides what you get??

18. aspenfields

why substract i thought you you add it? but 2y=-8-3x?

19. rizwan_uet

because 3x on left side has positive sign to cancel it out you have to subtract 3x on both sides

20. rizwan_uet

-2y=-8-3x now divide both sides by -2

21. aspenfields

y=4-3/2x

22. rizwan_uet

no its y = 4+3/2x

23. aspenfields

oh ok is that the asnwer or is there more to it?

24. rizwan_uet

no you have to do one step now you have a general equation for line in slope intercept form that is y = mx+b here m = slope and b = y intercept can you find the slope and y-intercept now from y = 4+3/2x

25. rizwan_uet

just compare

26. aspenfields

ok

27. rizwan_uet

now m =?? b= ???

28. aspenfields

m=3/2, b=4

29. rizwan_uet

exactly

30. rizwan_uet

these are respective values for slope and y-intercept

31. aspenfields

ok and that's it?

32. rizwan_uet

yes

33. aspenfields

thank you now i understand it

34. rizwan_uet

you are welcome