The equation of line is given as,
[tex]y-3\text{ = -4\lparen x+2\rparen}[/tex]The equation is simplified as follows:
[tex]\begin{gathered} y\text{ - 3 = -4x - 8} \\ 4x\text{ + y - 3 + 8 = 0} \\ 4x\text{ + y + 5 = 0} \end{gathered}[/tex]Slope of the given line is calculated as,
[tex]Slope\text{ = -4}[/tex]