The equation of a line is 2x-2y=6.
What is the slope of the line?

- anonymous

The equation of a line is 2x-2y=6.
What is the slope of the line?

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- schrodinger

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- anonymous

@jim_thompson5910

- jim_thompson5910

hint: solve for y

- anonymous

y=0?

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## More answers

- 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

-3?

- jim_thompson5910

how are you getting that

- anonymous

Never mind. That doesn't make since.

- jim_thompson5910

|dw:1443501260466:dw|

- jim_thompson5910

|dw:1443501277362:dw|

- anonymous

I really don't know..

- 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

I couldn't tell you. Sorry I suck at math.

- jim_thompson5910

compare
`5x+10y = 20`
to
`5x+10y-5x = 20-5x`
what's different?

- anonymous

-?

- jim_thompson5910

subtracting what

- anonymous

2?

- jim_thompson5910

hopefully you see the 5x being subtracted? or no?

- anonymous

I do!

- jim_thompson5910

ok so go back to the original `2x-2y = 6`
what do we do first?

- anonymous

Dont know.

- jim_thompson5910

maybe it might help to think of it as 0+2x-2y = 6

- jim_thompson5910

we have to undo that +2x

- anonymous

My laptop is almost dead.. Is there a faster way to find the answer?

- jim_thompson5910

we can come back to this later. Don't worry

- anonymous

but I need to get this done tonight..

- jim_thompson5910

subtract 2x from both sides
|dw:1443502454375:dw|

- jim_thompson5910

|dw:1443502471573:dw|

- anonymous

So the answer won't be negative?

- 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

so 2x - 2y = 6 turns into y = x-3 after we isolate y

- jim_thompson5910

compare `y = 1x-3` to `y = mx+b`
m = slope
b = y-intercept

- anonymous

Ok!

- anonymous

So is the answer -3?

- jim_thompson5910

|dw:1443503045153:dw|

- jim_thompson5910

|dw:1443503058099:dw|

- jim_thompson5910

|dw:1443503073175:dw|

- anonymous

1 is the answer?

- jim_thompson5910

yeah the slope is 1

- jim_thompson5910

-3 would be the y intercept

- jim_thompson5910

|dw:1443503289068:dw|

- jim_thompson5910

|dw:1443503297414:dw|

- jim_thompson5910

|dw:1443503356103:dw|

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