Question

y varies directly as 2. If x = -6 then y = 4. Find y when = 14. Y I Submit Question

Answer 1

Since y varies directly as x, then we set the equation:

$y=k\cdot x$

Substituting x= -6, y=4, and solving for k we get:

$\begin{gathered} 4=k\cdot(-6) \\ k=-\frac{4}{6}=-\frac{2}{3} \end{gathered}$

Then, taken x=14 we get:

$\begin{gathered} y=-\frac{2}{3}\cdot(14_{}) \\ y=-\frac{28}{3} \end{gathered}$