Question

Find the equation of a line which passes through the point (2, 3) and makes an angle of 30° with the positive direction of x-axis.

Answer 1

Here the slope of the line is m = tan θ

= tan 30°

= `1/sqrt(3)`

And the given point is (2, 3). 

Therefore, using point-slope formula of the equation of a line

We have y – 3 = `1/sqrt(3) (x - 2)`

or `x - sqrt(3y) + (3sqrt(3) - 2)` = 0.