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Write an equation for the line parallel to the given line that contains C.
Cleft parenthesis 3 comma 6 right parenthesis​; y equals negative 4 x plus 5

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ANSWER

[tex]y= - 4x + 18[/tex]

EXPLANATION

The given line has equation;

[tex]y = - 4x + 5[/tex]

The slope of this line is

-4

The given line is parallel to this line so it has the same slope:

[tex]m = - 4[/tex]

The equation of this line is in the form:

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

We substitute the slope and the point:

(3,6)

[tex]y-6= - 4(x-3)[/tex]

[tex]y= - 4x + 12+ 6[/tex]

[tex]y= - 4x + 18[/tex]

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