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Answer :

Given:

The slope of the line is m = -1 and passes through the point (5,-1).

Explanation:

The general equation of the line passing through points (x_1,y_1) and has slope m is,

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

Determine the equation of the line.

[tex]\begin{gathered} y-(-1)=-1(x-5) \\ y=-1(x-5)-1 \\ =-x+5-1 \\ =-x+4 \end{gathered}[/tex]

Plot the equation of the line.

View image RustynZ493244