Question 187722
Find the equation of the line through (0,2) and perpendicular to y= 3x-1. 

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That line has a slope of "3".
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Any line perpendicular to it must have a slope of -1/3
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The equation you want must have a slope of -1/3 and y-intercept of 2.
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Equation:
y = (-1/3)x + 2
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This is what they look like:
{{{graph(400,300,-10,10,-10,10,3x-1,(-1/3)x+2)}}}
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Cheers,
Stan H.