Question

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

Answer 1

The required line passes through the points A(2, 0) = (x₁, y₁) and B(3, 4) = (x₂, y₂) say.
Equation of the line in two point form is

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

∴ the equation of the required line is

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

∴ `y/4 = (x - 2)/1`

∴ y = 4(x – 2)
∴ y = 4x – 8
∴ 4x – y – 8 = 0