The slope-intercept of a line is given by:
[tex]y=mx+b[/tex]Where:
m = Slope (x-coefficient)
b = y-intercept = Constant term
For y - 4 = -(x + 2), solve for y:
[tex]\begin{gathered} y-4=-x-2 \\ y=-x+2 \end{gathered}[/tex]Therefore, the slope of the line is:
m = -1