A linear graph passes through $(0,0)$ and $(2,6)$. If $y$ depends linearly on $x$ through the origin, then…

A linear graph passes through $(0,0)$ and $(2,6)$. If $y$ depends linearly on $x$ through the origin, then for $x=5$ the value of $y$ is:
  1. $10$
  2. $12$
  3. $15$
  4. $18$

Solution

Slope $= 6/2 = 3$, so $y = 3x$. At $x=5$, $y=15$.

Asked in: IMO

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