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Find the equation of the line which passes through the point (2, 2) and makes an angle of 45° with x-axis ?
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- x + y = 2
- x – y = 0
- 2x + y = 3
- x – 2y = 4
Correct Option: B
Let the equation of line be
y – y1 = m(x – x1)
As it passes through (2, 2) and having slope m = tan 45° = 1
⇒ y – 2 = 1(x – 2)
y – x = 0
or
x – y = 0
