Question

The line intersecting the y-axis at point (0, 2) and making an angle of 45° with x-axis has equation ______.

Options

• x + y = 2

• y − x = 2

• x − y = 2

• x + y = 0

Answer 1

The line intersecting the y-axis at point (0, 2) and making an angle of 45° with x-axis has equation y − x = 2.

Explanation:

Given,

The line intersects the y-axis at point (0, 2) and makes an angle of 45° with x-axis.

Slope (m) = tan θ = tan 45° = 1.

Equation of line passing through a point is given b:

⇒ y − y₁ = m(x − x₁)

⇒ y − 2 = 1(x − 0)

⇒ y − 2 = x

⇒ y − x = 2.