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Line L

by El Cucu » Sat Jan 17, 2009 6:21 pm
When the point (a,b) is in line K, the point (b,a) is in line L. Line K is y=3x-2. What is the equation of line L?
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by DanaJ » Sat Jan 17, 2009 11:07 pm
Since point (a,b) is in the line K, then it follows its equation, making b = 3a -2. Point (b,a) will be on line K, having a = m*b + n as equation (like all lines). You may notice that all you have to do is find out m and n by using the first equation:
b = 3a - 2
b + 2 = 3a
1/3*b +2/3 = a, which in turn gives you your answer.
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