Which choice could be the equation of a line parallel to the line represented by this equation?
3x− 2y = 6
a. 2x− 3y = 6
b. y=3/2x+4
c. 5x− y = −2
d. y=2/3x-8

B) y=3/2x+4

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 :)