- anonymous

find the slope of the line described by x-3y=-6

- schrodinger

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- 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 ?

- anonymous

3y=x+6

- Nnesha

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

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## More answers

- anonymous

x+6=3y

- Nnesha

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

- anonymous

subtract x

- anonymous

from both sides

- phi

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

- anonymous

3y divided by 6

- 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

- anonymous

so 3 divided by 6 is 2

- Nnesha

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

- Nnesha

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

- anonymous

x divided by 3 is 0

- Nnesha

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

- Nnesha

x divide by 3 is zero ? how ?

- Nnesha

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

- Nnesha

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

- anonymous

i thought x was 0 thats why

- anonymous

i forgot that x equals one

- anonymous

so the slope is 1/3

- Nnesha

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

- Nnesha

yes right
so what's the y-intercept ?

- Nnesha

|dw:1440788720690:dw|

- anonymous

the y intercept is 3

- Nnesha

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

- anonymous

2

- anonymous

and is the x intercept 0

- 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

- Nnesha

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

- anonymous

the slope is 1/3X

- Nnesha

y=mx + b
in this equation `m` not `mx`

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