Answer:
y = - [tex]\frac{1}{3}[/tex]x + 4
Step-by-step explanation:
To find the slope of a perpendicular line, find the negative reciprocal of the slope.
The slope is 3 so the slope of the perpendicular line would be - [tex]\frac{1}{3}[/tex]
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Then use point slope form to find the equation of the perpendicular line:
y - [tex]y_{1}[/tex] = m (x - [tex]x_{1}[/tex] )
point = (6, 2)
slope = - [tex]\frac{1}{3}[/tex]
y - 2 = - [tex]\frac{1}{3}[/tex] (x - 6)
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If you want it in slope intercept form, you can just rearrange the equation:
y = 2 - [tex]\frac{1}{3}[/tex]x +2
y = - [tex]\frac{1}{3}[/tex]x + 4
