Given equation, 2x + 3y = 6

(i) x – intercept lies on the x-axis, therefore, y = 0,

Put y = 0 in 2x + 3y = 6

⇒ 2x + 3× 0 = 6

⇒ 2x + 0 = 6

⇒ 2x = 6

⇒ x = 3

Therefore, x – intercept = 3

(ii) y – intercept lies on the y-axis, therefore, x = 0,

Put x = 0 in 2x + 3y = 6

⇒ 2×0 + 3y = 6

⇒ 0 + 3y = 6

⇒ 3y = 6

⇒ x = 2

Therefore, y – intercept = 2