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Home » You Won’t Believe What 6 of Swords Symbolizes—Unlock Its Hidden Power Today! - Sourci

You Won’t Believe What 6 of Swords Symbolizes—Unlock Its Hidden Power Today! - Sourci

📅 May 2, 2026 👤 scraface

May 02, 2026

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📌 5Question: Find the point on the line \(y = 2x + 3\) that is closest to the point \((1, -1)\).

📌 Solution: To find the point on the line \(y = 2x + 3\) closest to \((1, -1)\), we minimize the distance between \((x, 2x + 3)\) and \((1, -1)\). The squared distance is:

📌 D = (x - 1)^2 + (2x + 3 + 1)^2 = (x - 1)^2 + (2x + 4)^2

📌 Expanding:

📌 D = (x^2 - 2x + 1) + (4x^2 + 16x + 16) = 5x^2 + 14x + 17

📌 \(D' = 10x + 14\). Set to zero:

📌 \(10x + 14 = 0 \Rightarrow x = -rac{7}{5}\)

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