The line intersects the y axis at point 4 (y > 3/2 x + 4), and for every 2 squares to the right it goes 3 squares up (y > 3/2 x + 4). Also, it's the > sign, which is correct when it goes in that direction.
Vina has $4.70 in quarters, dimes and nickels in her purse. She has nine more dimes than quarters and four more nickels than quarters. How many of each coin are in her purse?