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Write an equation in point slope form that goes through the point (3,5) and is perpendicular to the line y=1/3x-7

Respuesta :

towl35

Answer:

[tex]y - 5 = - 3(x - 3)[/tex]

Step-by-step explanation:

our original equation

[tex]y = \frac{1}{3} x - 7[/tex]

A perpendicular slope of a line is the negative reciprocal

So our slope would be -3

point slope form is

[tex]y - y1 = m(x - x1)[/tex]

let's substitute our given point (3, 5) and our perpendicular slope, -3

[tex]y - 5 = - 3(x - 3)[/tex]

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