Question

Find the equation of the line passing through the points A(2, 0), and B(3, 4)

Answer 1

Equation of the line passing through the points (x₁, y₁) and (x₂, y₂) is

`(y - y_1)/(x - x_1) = (y_2 - y_1)/(x_2 - x_1)`

Here, (x₁, y₁) = (2, 0) and (x₂, y₂) = (3, 4)

∴ equation of the required line is

`(y - 0)/(x - 2) = (4 - 0)/(3 - 2) = 4/1` = 4

∴ y = 4x – 8

∴ 4x – y – 8 = 0