Answer
see graph
Work Step by Step
Using the properties of equality, the given equation, $
3x-y=6
,$ is equivalent to
\begin{array}{l}\require{cancel}
-y=-3x+6
\\\\
y=3x-6
.\end{array}
Using $y=mx+b$, the equation, $
y=3x-6
,$ has the following characteristics:
\begin{array}{l}\require{cancel}
\text{Slope: }
m=3
\\\text{$y$-intercept: }
b=-6
.\end{array}
To graph this line, start with the $y-$intercept of $(
0,-6
)$. From the $y-$intercept, the slope, $m=
3=\dfrac{3}{1}
$ can be interpreted as moving $4$ units up and $1$ unit to the right. Hence, the second point for graphing is the point $(
1,-3
)$.
