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1. Turn x+3y=6 into slope intercept form:
3y = 6 - x
y = 2 - 1/3x
2. The perpendicular slope is always the negative reciprocal.
-1/3 becomes 3/1
3. Find the intercept
5 = (3/1)1 +b
b = 2
Answer: y = 3x + 2, or y = 3/1x + 2