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Mathematics

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

  1. x + y = 2

  2. y - x = 2

  3. x - y = 2

  4. x + y = 0

Straight Line Eq

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Answer

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 by :

⇒ y - y1 = m(x - x1)

⇒ y - 2 = 1(x - 0)

⇒ y - 2 = x

⇒ y - x = 2.

Hence, Option 2 is the correct option.

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