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