## Intermediate Algebra (6th Edition)

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 $( 1,-3 )$.