QuestionIf $y$ varies directly with $x$ and $y=-13$ when $x=13$, find $x$ when $y=-2$. Write and solve a direct variation equation to find the answer.

Studdy Solution
Use the constant $k$ to find the unknown value of $x$ when $y = -2$. Substitute $y = -2$ and $k = -1$ into the equation:
$$-2 = -1 \cdot x$$
Solve for $x$:
$$x = \frac{-2}{-1}$$ $$x = 2$$
The value of $x$ when $y = -2$ is:
$\boxed{2}$