Answer
The slope is the error.
The correct slope is $-\frac{1}{4}$.
Work Step by Step
The given equation is
$\Rightarrow x=-4y$
Add $4y-x$ to each side.
$\Rightarrow x+4y-x=-4y+4y-x$
Simplify.
$\Rightarrow 4y=-x$
Divide each side by $4$.
$\Rightarrow \frac{4y}{4}=-\frac{x}{4}$
Simplify.
$\Rightarrow y=-\frac{1}{4}x+0$
The slope-intercept form is
$\Rightarrow y=mx+b$
$y-$intercept is $b=0$.
The slope is $m=-\frac{1}{4}$
Hence, the slope is the error. The correct slope is $-\frac{1}{4}$.
