SOLUTION: Determine, by using the slope and y-intercept, if the lines are intersecting, parallel, or identical without graphing. 3x-2y=6 and x-1=2/3y

Algebra ->  Linear-equations -> SOLUTION: Determine, by using the slope and y-intercept, if the lines are intersecting, parallel, or identical without graphing. 3x-2y=6 and x-1=2/3y      Log On


   

Question 887647: Determine, by using the slope and y-intercept, if the lines are intersecting, parallel, or identical without graphing.
3x-2y=6 and x-1=2/3y
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
3x-2y=6
-2y=-3x%2B6
y=%283%2F2%29x-3
...
..
.
%282%2F3%29y=x-1
y=%283%2F2%29x-3%2F2
...
..
.
Parallel lines have identical slopes and unique y-intercepts.
That's the case here.
Parallel.
.
.
.
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C%283%2F2%29x-3%2C%283%2F2%29x-3%2F2%29