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Answer :

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]