Find the equation of the line passing through (-5, 7) and parallel to :

(i) x-axis

(ii) y-axis

(i) We know,

Slope of line parallel to x-axis = 0.

By point-slope form,

⇒ y - y₁ = m(x - x₁)

⇒ y - 7 = 0[x - (-5)]

⇒ y - 7 = 0

⇒ y = 7.

Hence, equation of the line parallel to x-axis is y = 7.

(ii) We know that,

Equation of line parallel to y-axis is given by,

⇒ x - x₁ = 0

⇒ x - (-5) = 0

⇒ x + 5 = 0.

Hence, equation of the line parallel to y-axis is x + 5 = 0.