Mathematics: Which is the equation of the line that passes through (6, 2) and is perpendicular to a line with slope -1/3? a. y-6=-1/3(x-2) b. y-2=1/3(x-6) c. y-2=3(x-6) d. y-6=-3(x-2) e. y-2=-3(x-6)

Which is the equation of the line that passes

oneicyahdaley10

16.01.2022

$\boxed{\text{C. } y - 2 = 3(x - 6)}$

Step-by-step explanation:

The slope of the perpendicular line m₂ must be the negative reciprocal of the slope m₁ of the first line.

$m_{2} = -\dfrac{1}{m_{1}} = -\dfrac{1}{-\frac{1}{3}} = 3$

The only equation with m = 3 is

$\boxed{\textbf{C. } y - 2 = 3(x - 6)}$

This is the point slope form of the equation for a straight line through (6, 2) with slope = 3.

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MARTINASLACK299

22.12.2021

Step-by-step explanation:

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