Answer
The slope is $7$, and the $y-$ intercept is $\frac{1}{2}$.
Work Step by Step
The given equation is
$\Rightarrow 0=1-2y+14x$
Add $2y$ to each side.
$\Rightarrow 0+2y=1-2y+14x+2y$
Simplify.
$\Rightarrow 2y=14x+1$
Divide each side by $2$.
$\Rightarrow \frac{2y}{2}=\frac{14x+1}{2}$
Simplify.
$\Rightarrow y=7x+\frac{1}{2}$
The slope-intercept form is
$\Rightarrow y=mx+b$
$y-$intercept is $b=\frac{1}{2}$.
The slope is $m=7$
Hence, the slope is $7$, and the $y-$ intercept is $\frac{1}{2}$.
