Question

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.

Answer 1

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.

Answer 2

I still don't understand..
But thanks!

Answer 3

what part?

Answer 4

All of it.. could you draw it?

Answer 5

ok, wait. this is not easy drawing. xD

Answer 6

Well it's okay

Answer 7

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

Answer 8

y=mx+b?

Answer 9

yep..

Answer 10

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

Answer 11

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..

Answer 12

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

Answer 13

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

Answer 14

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

Answer 15

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