Choose the correct graph to fit the equation 3y=2x+4

y=2x+1

Step-by-step explanation:

Well, let's start with the graph given by the question. (Picture 1 below)

1) We can pick two points, (1,1)  and (-1,-3), also for the slope we can see it's a positive one so m >0

2)

So now

y=mx+b

y=2x+b

Plugging in those values (1,1) and (-1,-3)

1=2(1)+b

b=-1

So y=2x-1, instead of 3y=2x+4

the answer

b. they are parallel and will never intersect.