Answer :

Answer:

[tex]y=-5x+9[/tex]

Step-by-step explanation:

The slope of the line is [tex]-5[/tex].

The given point is [tex](2,-1)[/tex].

The equation of line in a point-slope form is [tex](y-y_1)=m(x-x_1)[/tex]

Subsitute [tex]2[/tex] for [tex]x_1[/tex], [tex]-5[/tex] for [tex]m[/tex] and [tex]-1[/tex] for [tex]y_1[/tex] in [tex](y-y_1)=m(x-x_1)[/tex]

[tex](y-(-1))=-5(x-2)\\y+1=-5x+10\\y=-5x+10-1\\y=-5x+9[/tex]

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