Find the equation of the straight line passing through (3, – 2) and making an angle of 60° with the positive direction of y – axis.

A line which is passing through (3, – 2), the angle is 60o 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 = 60o 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 30o

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

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