anonymous
  • anonymous
The equation of a line is 2x-2y=6. What is the slope of the line?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
@jim_thompson5910
jim_thompson5910
  • jim_thompson5910
hint: solve for y
anonymous
  • anonymous
y=0?

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jim_thompson5910
  • jim_thompson5910
example: 5x+10y = 20 5x+10y-5x = 20-5x 10y = -5x+20 10y/10 = (-5x+20)/10 y = -1/2x + 2 The slope here is -1/2. This is not the answer as it's just an example
anonymous
  • anonymous
-3?
jim_thompson5910
  • jim_thompson5910
how are you getting that
anonymous
  • anonymous
Never mind. That doesn't make since.
jim_thompson5910
  • jim_thompson5910
|dw:1443501260466:dw|
jim_thompson5910
  • jim_thompson5910
|dw:1443501277362:dw|
anonymous
  • anonymous
I really don't know..
jim_thompson5910
  • jim_thompson5910
look back at my example `5x+10y = 20` when I solved for y. What was the first thing I did? How did I move the 5x over?
anonymous
  • anonymous
I couldn't tell you. Sorry I suck at math.
jim_thompson5910
  • jim_thompson5910
compare `5x+10y = 20` to `5x+10y-5x = 20-5x` what's different?
anonymous
  • anonymous
-?
jim_thompson5910
  • jim_thompson5910
subtracting what
anonymous
  • anonymous
2?
jim_thompson5910
  • jim_thompson5910
hopefully you see the 5x being subtracted? or no?
anonymous
  • anonymous
I do!
jim_thompson5910
  • jim_thompson5910
ok so go back to the original `2x-2y = 6` what do we do first?
anonymous
  • anonymous
Dont know.
jim_thompson5910
  • jim_thompson5910
maybe it might help to think of it as 0+2x-2y = 6
jim_thompson5910
  • jim_thompson5910
we have to undo that +2x
anonymous
  • anonymous
My laptop is almost dead.. Is there a faster way to find the answer?
jim_thompson5910
  • jim_thompson5910
we can come back to this later. Don't worry
anonymous
  • anonymous
but I need to get this done tonight..
jim_thompson5910
  • jim_thompson5910
subtract 2x from both sides |dw:1443502454375:dw|
jim_thompson5910
  • jim_thompson5910
|dw:1443502471573:dw|
anonymous
  • anonymous
So the answer won't be negative?
jim_thompson5910
  • jim_thompson5910
so we now have -2y = -2x+6 we can then divide both sides by -2 to get -2y/(-2) = (-2x+6)/(-2) y = x-3
jim_thompson5910
  • jim_thompson5910
so 2x - 2y = 6 turns into y = x-3 after we isolate y
jim_thompson5910
  • jim_thompson5910
compare `y = 1x-3` to `y = mx+b` m = slope b = y-intercept
anonymous
  • anonymous
Ok!
anonymous
  • anonymous
So is the answer -3?
jim_thompson5910
  • jim_thompson5910
|dw:1443503045153:dw|
jim_thompson5910
  • jim_thompson5910
|dw:1443503058099:dw|
jim_thompson5910
  • jim_thompson5910
|dw:1443503073175:dw|
anonymous
  • anonymous
1 is the answer?
jim_thompson5910
  • jim_thompson5910
yeah the slope is 1
jim_thompson5910
  • jim_thompson5910
-3 would be the y intercept
jim_thompson5910
  • jim_thompson5910
|dw:1443503289068:dw|
jim_thompson5910
  • jim_thompson5910
|dw:1443503297414:dw|
jim_thompson5910
  • jim_thompson5910
|dw:1443503356103:dw|

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