Solving the given equation for y we get:
[tex]\begin{gathered} 2y-2x+2x=-7+2x, \\ 2y=2x-7, \\ \frac{2y}{2}=\frac{2x-7}{2}, \\ y=x-\frac{7}{2}\text{.} \end{gathered}[/tex]
The above equation is in slope-intercept form, therefore the slope of the line is
[tex]1.[/tex]
Answer: 1.
