Let’s start by turning this into slope-intercept form, or y=mx+b form
3x-2y=6
*subtract 3x on both sides*
-2y=-3x+6
*divide all numbers by -2, in order to get y alone*
y=3/2x-3
When an equation is parallel to another, it has the same slope but different y intercept. So, our new equation will also have a slope of 3/2.
Our current equation is: y=3/2x+b
We do not know what b is, but the question is only asking for possible choices. “B” could be any number, meaning that a possible answer choice could be b)y=3/2x+4.
Hope this helps if you need any more help comment below :)
