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Answer :

The general equation of line with slope m and passing through point (x_1,y_1) is,

[tex]y-y_1=m(x-x_1)[/tex]

Determine the equation of line with m = -3 and passing through the point (5,-7).

[tex]\begin{gathered} y-(-7)=-3(x-5) \\ y+7=-3(x-5) \end{gathered}[/tex]