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1981 AMC 12 Question 10

AMC12 · 1981 AMC 12

Question 10

The lines $L$ and $K$ are symmetric to each other with respect to the line $y=x.$ If the equation of line $L$ is $y=ax+b$ with $a\ne0$ and $b\ne0,$ then the equation of $K$ is $y=$
  1. $\frac1a x+b$
  2. $-\frac1a x+b$
  3. $-\frac1a x-\frac ba$
  4. $\frac1a x+\frac ba$
  5. $\frac1a x-\frac ba$