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Home » A line passes through the points (1, 2) and (4, 8). Find the slope of the line. - Crosslake

A line passes through the points (1, 2) and (4, 8). Find the slope of the line. - Crosslake

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 ho = rac{4}{2 + \cos\phi} = rac{2}{1 + rac{1}{2}\cos\phi}.

📌 This matches $

📌 ho = rac{2}{1 + e\cos\phi} $ with $ e = rac{1}{2} $, which is **elliptic** since $ 0 < e < 1 $.

📌 Thus, the surface is an **ellipsoid-centered ellipse (in axial cross-section)**, but lying along the $ z $-axis, it's an **ellipsoid** (specifically, a **prolate spheroid**? No â $ e = 1/2 $, so elliptic).

📌 Standard form confirms it's an **ellipsoid** (quasi-spherical distortion).

📌 Thus, the conic section (in the context of conic classification and physical interpretation) is an **ellipse**, and the surface is a **rotationally symmetric ellipsoid**.

📌 But the exact conic type defined by $

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