First, I would convert the equation to slope intercept form.
That would be: y = (3/5)x + 3 , now it will be easier to create the needed equations.
For no solution, keep the slope the same and change the y-intercept.
You could have: y = (3/5)x + 9
For one solution, all we have to do is change the slope.
You could have: y = (4/5)x + 3
For an infinite number of solutions, just multiply the entire equation by any number. Let's use the number 2.
2y = (6/5)x + 6
