anonymous
  • anonymous
find the slope of the line described by x-3y=-6
Mathematics
schrodinger
  • schrodinger
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Nnesha
  • 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
  • anonymous
3y=x+6
Nnesha
  • Nnesha
ahh nice! 3 is still at left side :=)

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anonymous
  • anonymous
x+6=3y
Nnesha
  • Nnesha
hmm same thing how would you cancel out the 3 from right side ?
anonymous
  • anonymous
subtract x
anonymous
  • anonymous
from both sides
phi
  • phi
notice you have 3 times y to "undo" the times, think "divide"
anonymous
  • anonymous
3y divided by 6
Nnesha
  • 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
  • anonymous
so 3 divided by 6 is 2
Nnesha
  • Nnesha
we have to solve for y so just divide both sides by 3
Nnesha
  • Nnesha
\[\huge\rm \frac{ 3y }{ 3 } =\frac{ x+6}{ 3}\]
anonymous
  • anonymous
x divided by 3 is 0
Nnesha
  • Nnesha
(x+6)/3 is same as \[\frac{ 1 }{ 3 }x +\frac{ 6 }{ 3 }\]
Nnesha
  • Nnesha
x divide by 3 is zero ? how ?
Nnesha
  • Nnesha
there is invisible one \[\huge\rm \frac{ 3y }{ 3 } =\frac{ 1x+6}{ 3}\]
Nnesha
  • Nnesha
so you are saying 1/3x = 0 nope.
anonymous
  • anonymous
i thought x was 0 thats why
anonymous
  • anonymous
i forgot that x equals one
anonymous
  • anonymous
so the slope is 1/3
Nnesha
  • Nnesha
no x is just a variable remember we need the equation in slope intercept form \[\huge\rm y=mx+b\]
Nnesha
  • Nnesha
yes right so what's the y-intercept ?
Nnesha
  • Nnesha
|dw:1440788720690:dw|
anonymous
  • anonymous
the y intercept is 3
Nnesha
  • Nnesha
\[\huge\rm y=\frac{ 1 }{ 3 }x +\frac{ 6 }{ 3 }\] divide 6/3 = ?
anonymous
  • anonymous
2
anonymous
  • anonymous
and is the x intercept 0
Nnesha
  • 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
  • Nnesha
\[\huge\rm 0=\frac{ 1 }{ 3 }+2\](replaced y for 0) solve for x to find x-intercept
anonymous
  • anonymous
the slope is 1/3X
Nnesha
  • Nnesha
y=mx + b in this equation `m` not `mx`

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