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Question
Find the equation of a line passing through (2,5) and making and angle of 30° with the positive direction of the x-axis.
Solution
m = tan 30°
=`1/sqrt 3`
Equation of line is given by,
`("y" - "y"_1)/("x" - "x"_1)` = m
⇒ `("y" - 5)/("x" - 2) = 1/sqrt3`
⇒ x - 2 = `sqrt3"y" - 5sqrt3`
⇒ x - `sqrt3"y" - 2 + 5sqrt3 = 0`
⇒ `sqrt3"y" = "x" - 2 + 5sqrt3`
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