Are #y=2/3x-2# and #y=3/2x+1# parallel to each other?
No, they are not parallel because they have different slopes.
See full explanation below.
Parallel lines have the same slope.
You can determine the slope of a line if it is in slope-intercept form, which both of these equations are.
The slope-intercept form of a linear equation is:
The slope of the first equation is