## anonymous one year ago find the slope of the line described by x-3y=-6

1. Nnesha

rewrite that equation into slope-intercept form $\huge\rm y=mx+b$ ^^slope intercept form where m is slope b is y-intercept can you solve that equation for y ?

2. anonymous

3y=x+6

3. Nnesha

ahh nice! 3 is still at left side :=)

4. anonymous

x+6=3y

5. Nnesha

hmm same thing how would you cancel out the 3 from right side ?

6. anonymous

subtract x

7. anonymous

from both sides

8. phi

notice you have 3 times y to "undo" the times, think "divide"

9. anonymous

3y divided by 6

10. Nnesha

you already moved x to the right side $\huge\rm 3y=x+6$ it's 3 times y opposite of multiplication is division so divide by 3

11. anonymous

so 3 divided by 6 is 2

12. Nnesha

we have to solve for y so just divide both sides by 3

13. Nnesha

$\huge\rm \frac{ 3y }{ 3 } =\frac{ x+6}{ 3}$

14. anonymous

x divided by 3 is 0

15. Nnesha

(x+6)/3 is same as $\frac{ 1 }{ 3 }x +\frac{ 6 }{ 3 }$

16. Nnesha

x divide by 3 is zero ? how ?

17. Nnesha

there is invisible one $\huge\rm \frac{ 3y }{ 3 } =\frac{ 1x+6}{ 3}$

18. Nnesha

so you are saying 1/3x = 0 nope.

19. anonymous

i thought x was 0 thats why

20. anonymous

i forgot that x equals one

21. anonymous

so the slope is 1/3

22. Nnesha

no x is just a variable remember we need the equation in slope intercept form $\huge\rm y=mx+b$

23. Nnesha

yes right so what's the y-intercept ?

24. Nnesha

|dw:1440788720690:dw|

25. anonymous

the y intercept is 3

26. Nnesha

$\huge\rm y=\frac{ 1 }{ 3 }x +\frac{ 6 }{ 3 }$ divide 6/3 = ?

27. anonymous

2

28. anonymous

and is the x intercept 0

29. Nnesha

y-intercept is 2 right x-intercept when line cross x-axis and y=0 so to find x-intercept substitute y for 0 solve for x

30. Nnesha

$\huge\rm 0=\frac{ 1 }{ 3 }+2$(replaced y for 0) solve for x to find x-intercept

31. anonymous

the slope is 1/3X

32. Nnesha

y=mx + b in this equation m not mx