We have the line y = 2x - 3, any lineparallel to this one must have the same slope, so:
[tex]\begin{gathered} \text{The lines parallel to y = 2x -3 are:} \\ y=2x-C \\ \text{Where C is a constant.} \end{gathered}[/tex]So, any line like y = 2x - C, where C is a constant
