Answer
a) $y=2x+6.$
b) $2x-y+6=0$
Work Step by Step
a) The equation of a line in slope-intercept form is:
$$y=mx+b,$$
where $m$ is the slope and $b$ in the $y$-intercept.
We are given:
$$\begin{align*}
m&=2\\
b&=6.
\end{align*}$$
We substitute $m=2$ and $b=6$ in Eq. $(1)$ to determine the equation of the line:
$$y=2x+6.$$
b) The equation of a line in general form is:
$$Ax+By+C=0.$$
Rewrite the equation $y=2x+6$ in general form:
$$2x-y+6=0.$$
c) Find the $x$-intercept:
$$\begin{align*}
0&=2x+6\\
-6&=2x\\
x&=-3.
\end{align*}$$
Graph the line using the $x$ and $y$ intercepts:
