A line which is passing through (3, – 2), the angle is 60^o with the positive direction of the y – axis.

To Find: The equation of a straight line.

Formula used: The equation of line is [y – y₁ = m(x – x₁)]

Explanation: Here, angle, θ = 60^o with the y – axis. So, it makes 30⁰ with the positive direction of the x – axis.

SO, The slope of the line, m = tan θ

m = tan 30^o

m =

The line passing through (x₁,y₁) = (3, – 2)

The required equation of line is y – y₁ = m(x – x₁)

y – ( – 2) = (x – 3)

Hence, The equation of the line is