Answer:
kewl
Step-by-step explanation:
There's more ways than one to solve this, just as there's more ways than one to skin a cat.
Two paralle lines have the same slope, so the desired new line looks exactly like the given line 3x + 5y = 6, except that the constant, 6, is replaced by another value.
Write out 3x + 5y = c
Replace x with 0 and y with 3. Then 3(0) + 5(3) = c, and c = 15.
Thus, the equation of the new, parallel, line is 3x + 5y = 15.
Step-by-step explanation:

As we travel from (-2, p) to (2, 2p+1), x increases by 4 and y increases by p+1. Note that -2 + 4 = 2 (which is correct), and that p + (p+1) = 2p+1 (which is also correct).
p+1
Thus, the slope of this line is m = rise / run = -------- = 9
4
Then p + 1 = 36, and p = 35.
The answer is 30 because you have to multiply the two together