7) We know that x = 5 and y = 2
We can write an equation that relates this values as a proportion.
Let's say there is a number r such as:
x*r=y
That's a equation that relates x and y. Let's solve for the values given.
[tex]5\cdot r=2[/tex]
Now solve for r:
[tex]r=\frac{2}{5}[/tex]
The relation we found is:
[tex]x\cdot\frac{2}{5}=y[/tex]
Now to find the value of x when y = -6, we replace it in the equation:
[tex]\begin{gathered} x\cdot\frac{2}{5}=-6 \\ x=-6\cdot\frac{5}{2}=-15 \end{gathered}[/tex]
Then with this relation, x = -15 when y = -6
