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MathNet 2008-part-03 — 165 problems (EN–VI) Question 133

Math Olympiad Vault · MathNet 2008-part-03 — 165 problems (EN–VI)

Question 133

A family of linear functions is given: $f(x) = m x + r x - 2 m + r + 1$. Find the values of the parameters $m$ and $r$ such that the graph of the chosen linear function is parallel to the line $y = -x$ and passes through the point $T(0, 3)$.