You can see that both equations are written in the form
[tex]y=mx+b[/tex]Where m indicates the slope of the line and b the intercept of the line with the y axis.
[tex]\begin{gathered} y=2x+7 \\ \text{and} \\ y=2x-4 \end{gathered}[/tex]As you can see, both lines have slope m = 2. By definition, two lines are parallel if they have the same slope.
Therefore, the two lines are parallel.
