Find the equation of the line passing through (2, 2) and inclined with x – axis at an angle of 750.
A line which is passing through (2,2√3), the angle is 75o.
To Find: The equation of a straight line.
Formula used: The equation of line is [y – y1 = m(x – x1)]
Explanation: Here, angle, θ = 75o
SO, The slope of the line, m = tan θ
m = tan 75o
m = 3.73 = 2 +
The line passing through (x1,y1) = (2,2√3)
The required equation of the line is y – y1 = m(x – x1)
y – 2√3 = 2 + √3 (x – 2)
y – 2√3 = (2 + √3)x – 7.46
(2 + √3)x – y – 4 = 0
Hence, The equation of the line is (2 + √3)x – y – 4 = 0