Find the equation of the line Passing through (2, 2) and inclined with the x-axis at an angle of 75°.

The line passes through (2, 2)

θ = 75⁰
m = tan 75⁰ = tan(45⁰ + 30⁰) =
                  = =

Equation of the line in point-slope form is

y – y₁ = m(x – x₁)

y –2 = (x – 2)

((y - 2) = (+1)(x – 2)

( = x - 2+ x – 2)

or (+y - 2 - 2- 2 + 6) = 0

( - 1)x – ( - 1)y = 4 - 4

or ( + 1)x – ( - 1)y = 4( - 1)