Step 1:
Write the equation connecting y and x.
[tex]\begin{gathered} y\text{ }\alpha\text{ x} \\ y\text{ = kx where k is constant.} \end{gathered}[/tex]Step 2:
Use the values of y and x to find the constant k.
[tex]\begin{gathered} y\text{ = 3}\frac{3}{4}\text{ and x = }\frac{3}{4} \\ y\text{ = kx} \\ \text{Substitute y and x.} \\ 3\frac{3}{4}\text{ = }\frac{3}{4}k \\ \frac{15}{4}\text{ = }\frac{3}{4}k \\ \text{Cancel 4 at both sides.} \\ 15\text{ = 3k} \\ k\text{ = }\frac{15}{3} \\ k\text{ = 5} \end{gathered}[/tex]Final answer
Find y when x = 1/2
[tex]\begin{gathered} y\text{ = kx} \\ y\text{ = 5x} \\ y\text{ = 5}\times\text{ }\frac{1}{2} \\ y\text{ = }\frac{5}{2}\text{ or 2}\frac{1}{2} \end{gathered}[/tex]