a camp director reviews the supply of string used for bracelet making the graph shows the relationship between the number of yards of string used and the number of bracelets made

In the problem they are telling us that the graph shows the relationship between the number of yards of string and the number of bracelets made so in the graph y represent the yards of string and x represent the bracelets made so and the ratio can be calculate like:
[tex]r=\frac{y}{x}=\frac{6}{4}=\frac{3}{2}=1.5[/tex]So the ratio is:
[tex]6\colon4[/tex]so with 6 yards os string made 4 bracelets
and the point (6,9) rpcan be represent with the ratio
[tex]9\colon6[/tex]and this means that with 9 yards of string we can made 6 brecelets