Question -
Answer -
Given: A line whichmakes an angle of 150o with the x–axis and cutting off anintercept at 2
By using the formula,
The equation of a lineis y = mx + c
We know thatangle, θ = 150o
The slope of the line,m = tan θ
Where, m = tan 150o
= -1/ √3
Coordinate ofy–intercept is (0, 2)
The required equationof the line is y = mx + c
Now substitute thevalues, we get
y = -x/√3 + 2
√3y – 2√3 + x = 0
x + √3y = 2√3
∴ The equation of lineis x + √3y = 2√3