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1974 AMC 12 Question 11

AMC12 · 1974 AMC 12

Question 11

If $(a,b)$ and $(c,d)$ are two points on the line whose equation is $y=mx+k,$ then the distance between $(a,b)$ and $(c,d),$ in terms of $a,$ $c,$ and $m,$ is
  1. $|a-c|\sqrt{1+m^2}$
  2. $|a+c|\sqrt{1+m^2}$
  3. $\frac{|a-c|}{\sqrt{1+m^2}}$
  4. $|a-c|(1+m^2)$
  5. $|a-c||m|$