## Precalculus (6th Edition) Blitzer

The slope of the given equation is $m=-\frac{1}{2}$ and $y$ -intercept is $c=2$.
On simplifying equation (1), we get, \begin{align} & 2x+4y-8=0 \\ & 4y=-2x+8 \\ & \frac{4y}{4}=\frac{-2x+8}{4} \\ & y=-\frac{1}{2}x+2 \end{align} Therefore, the equation $y=-\frac{1}{2}x+2$ …… (2) The above equation is in the form of $y=mx+c$, where $m$ is slope and $c$ is the intercept. Therefore, from (2) it can be concluded that $m=-\frac{1}{2}$ and $y$ -intercept is $c=2$.