## becca18 4 years ago 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.

1. hbaldon

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.

2. becca18

I still don't understand.. But thanks!

3. hbaldon

what part?

4. becca18

All of it.. could you draw it?

5. hbaldon

ok, wait. this is not easy drawing. xD

6. becca18

Well it's okay

7. hbaldon

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

8. becca18

y=mx+b?

9. hbaldon

yep..

10. becca18

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

11. hbaldon

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..

12. hbaldon

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

13. hbaldon

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

14. becca18

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

15. hbaldon

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