Question

The lines represented by the equations 3y−6x=−6 and y−2x=6 arethe same line parallelperpendicular neither parallel nor perpendicular

Answer 1

Let's rewrite every line in the slope-intercept form:

$\begin{gathered} y=mx+b \\ m=\text{slope} \\ b=y-\text{intercept} \\ \end{gathered}$$\begin{gathered} 3y-6x=-6 \\ 3y=6x-6 \\ y=2x-2 \\ m=2 \end{gathered}$$\begin{gathered} y-2x=6 \\ y=2x+6 \\ m=2 \end{gathered}$

Since their slopes are equal, we can conclude that those lines are parallel.