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danielgeyfman

Answer:

Step-by-step explanation:

We can subtract [tex]3x[/tex] from both sides of the equation to get [tex]y=-3x+5[/tex].

We want the line parallel to this line, so it must have the same slope, [tex]-3[/tex].

Recall point-slope form: Given a point [tex](x_{1}, y_{1})[/tex] and the slope m, the line is of the form [tex]y-y_{1}=m(x-x_{1})[/tex].

Plugging in our point [tex](-1, -4)[/tex] and the slope [tex]-3[/tex], the line is [tex]y+4=-3(x+1)[/tex].

Distributing the right side gives [tex]y+4=-3x-3[/tex].

Subtracting [tex]5[/tex] from both sides gives [tex]y=-3x-7[/tex].

So, the equation for the line is [tex]y=-3x-7[/tex] and we're done!

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