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- anonymous

Directions say: Determine whether the lines are intersecting, parallel or the same (check slopes) How many points in common, Give solution if any:
3x-y=2
6x-2y=3
Explain.

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- anonymous

- jamiebookeater

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- anonymous

equation of a line: y=mx + b
equating your givens:
y=3x-2
2y=6x-3 (divide both sides by 2 to eliminate constant 2. so we will get:)
y=3x-3/2
lines are parallel.. you can graph it by substituting x. let's say from -3 to 3.. slopes: both slopes are 3.

- anonymous

I still don't understand..
But thanks!

- anonymous

what part?

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- anonymous

All of it.. could you draw it?

- anonymous

ok, wait. this is not easy drawing. xD

- anonymous

Well it's okay

- anonymous

did you know why i came up with y=3x-2 from 3x-y=2?

- anonymous

y=mx+b?

- anonymous

yep..

- anonymous

but then wouldn't be -y=-3x+2 & -2y=-6x+3?

- anonymous

because if you transfer a number from other side, the sign will change. let's say -2+3=1 if you transfer -2 to the right side, it will be 3=1+2..

- anonymous

-2+3=1.. if you transfer -2 to the right side, it will be 3=1+2

- anonymous

the red line is your y=3x-2 and the green line is your y=3x-3/2
and for the slope, from the equation y=mx+b, m is the slope. so the slope for the two linear equations is 3. the rest are in the images. :D
http://www.fileden.com/files/2007/10/19/1523433/IMG_0022.PNG
http://www.fileden.com/files/2007/10/19/1523433/SAM_1559.JPG

- anonymous

Thank you sooooo much! you did so much work! Lol Pretty handwriting too!(:

- anonymous

lol. no problemo.. just trying to help. :D

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