Question

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

Answer 1

Since, the required line passes through the points A(–3, 0) and B(0, 4).
Equation of the line in two point form is

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

Here, (x₁, y₁) = (–3, 0) and (x₂, y₂) = (0, 4)
∴ the equation of the required line is

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

∴ `y/4 = (x + 3)/3`

∴ 4x + 12 = 3y
∴ 4x – 3y + 12 = 0