Homogeneous equations
Two-dimensional geometry · Mathematics
Study notes
Q: Homogenize 2x + 3y = 5 using z = 1, then find where it meets z = 0 (point at infinity). Homogenized: 2x + 3y = 5z. At z = 0: 2x + 3y = 0 → direction (−3, 2). The line's 'point at infinity' is the direction vector!