What is an equation of the line that passes through the point (3,-1) and is perpendicular to the equation y=-3x+2

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03-11-2015
Mathematics

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What is an equation of the line that passes through the point (3,-1) and is perpendicular to the equation y=-3x+2

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TSO TSO · Answer 1 · 2015-11-03T18:16:44+01:00

TSO TSO

03-11-2015

If it is perpendicular then the slope of it will be:

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

y = 1/3 x + b

-1 = (1/3)(3) + b

-1 = 1 + b

b = -2

The equation is:

[tex]y = \frac{1}{3}x - 2[/tex]

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