Harmony can spend up to $100 on a shopping trip. she needs to buy socks and shoes. each pair of socks costs $5.00 and each pair of shoes costs $20.00. which graph shows all of the ways she can purchase shoes and socks, spending up to $100?

20y+5x≤100  divide all terms by 5

4y+x≤20  subtract x from both sides

4y≤-x+20  divide both side by 4

y≤-0.25x+5

So just in simplest terms, the slope is slightly negative and it should be shaded under the line since y is less than the line...so it is the second graph.

Check the picture below.

keep in mind, the partitioning happens from B to Z, that matters, because BZ getting split 5+1 or 6 pieces, BH takes 5, whilst HZ takes only 1.