Question

Find the equations of the lines passing through point (–2, 0) and equally inclined to the co-ordinate axes.

Answer 1

Let AB and CD be two equally inclined lines.

For line AB:

Slope = m = tan 45° = 1

(x₁, y₁) = (−2, 0)

Equation of the line AB is:

y − y₁ = m(x − x₁)

y − 0 = 1(x + 2)

y = x + 2

For line CD:

Slope = m = tan (−45°) = −1

(x₁, y₁) = (−2, 0)

Equation of the line CD is:

y − y₁ = m(x − x₁)

y − 0 = −1(x + 2)

y = −x − 2

x + y + 2 = 0