slope intercept formula is y = mx + b.
Isolate the y. Note the equal sign. What you do to one side, you do to the other. Do the opposite of PEMDAS. First, subtract 2x from both sides
2x (-2x) + 3y = (-2x) + 1470
3y = -2x + 1470
Isolate the y. Divide 3 from both sides
(3y)/3 = (-2x + 1470)/3
y = (-2x + 1470)/3
Simplify
y = (-2/3)x + 490
y = (-2/3)x + 490 is your answer
hope this helps