Question

Find the equation of the line passing through :

(i) (0, 1) and (1, 2) (ii) (-1, -4) and (3, 0)

Answer 1

(i) Let (0, 1) = (x₁, y₁) and (1, 2) = (x₂, y₂)

The required equation of the line is given by:

y - y₁ = m(x - x₁)

y - 1 = 1(x - 0)

y - 1 = x

y = x + 1

(ii) Let (-1, -4) = (x₁, y₁) and (3, 0) = (x₂, y₂)

The required equation of the line is given by:

y - y₁ = m(x - x₁)

y + 4 = 1(x + 1)

y + 4 = x + 1

y = x - 3