Find equation of line joining (1, 2) and (3, 6) using determinants.
Equation of line joining points (x1, y1) & (x2, y2) is given by = 0
Given points are (1, 2) and (3, 6)
Equation of line is given by = 0
⇒ 1/2 × [1 × (6 × 1 – y × 1) – 2 × (3 × 1 – x × 1) + 1 × (3 × y – x × 6)] = 0
⇒ [(6 – y) – 2 × (3 – x) + (3y – 6x)] = 0 × 2
⇒ (6 – y – 6 + 2x + 3y – 6x) = 0
⇒ 2y – 4x = 0
⇒ y – 2x = 0 ⇒ y = 2x
∴ Required Equation of line is y = 2x