In Exercises, find the equation of the line which satisfy the given conditions:

Passing through the points (–1, 1) and (2, – 4).

Given points (-1, 1) and (2, -4)

We know that the equation of the line passing through the points (x₁, y₁) and (x₂, y₂) is given by

⇒ 3 (y – 1) = (-5) (x + 1)

⇒ 3y – 3 = -5x – 5

⇒ 3y – 3 + 5x + 5 = 0

⇒ 5x – 3y + 2 = 0

Ans. The equation of the line is 5x – 3y + 2 = 0.