Answer
Constant of variation $=-1$.
$x = -3$ when $y = 1$
Work Step by Step
First, we need to find the constant of variation for this exercise. We have an $x$ value and a $y$ value. Let's plug these values into the formula for direct variation, $y = kx$ to find $k$, the constant of variation:
$2 = k(-2)$
Divide both sides by $-2$ to isolate $k$:
$k = -1$
Our constant of variation is $-1$.
Now, we want to find $x$ when $y$ is a specific value. We plug $y$ and the $k$ we just found into the formula for direct variation:
$3 = -1x$
Divide both sides by $-1$:
$x = -3$
