Question

Find the equation of the line which passes though (2, 2√3) and is inclined with the x-axis at an angle of 75°.

Answer 1

The slope of the line that inclines with the x-axis at an angle of 75° is m = tan 75°

We know that the equation of the line passing through point (X₀,Y₀)

whose slope is m, is

(Y -Y₀) = m (X - X₀)

Thus, if a line passes though (2, 2√3) and inclines with the x-axis at an angle of 75°,

then the equation of the line is given as