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2023 AMC 8 Question 7

AMC8 · 2023 AMC 8

Question 7

A rectangle, with sides parallel to the $x$-axis and $y$-axis, has opposite vertices located at $(15, 3)$ and $(16, 5).$ A line is drawn through points $A(0, 0)$ and $B(3, 1).$ Another line is drawn through points $C(0, 10)$ and $D(2, 9).$ How many points on the rectangle lie on at least one of the two lines?

Question illustration
  1. $0$
  2. $1$
  3. $2$
  4. $3$
  5. $4$