Find the equation of the straight line which passes through the point (1,2) and makes such an angle with the positive direction of x – axis whose sine is .
A line which is passing through (1,2)
To Find: The equation of a straight line.
Formula used: The equation of line is [y – y1 = m(x – x1)]
Explanation: Here,
We know,
According to Pythagoras theorem,
(Hypotenuse)2 = (Base)2 + (Perpendicular)2
(5)2 = (Base)2 + (3)2
(Base) =
(Base)2 =
Base = 4
Hence,
SO, The slope of the line, m = tan θ
m =
The line passing through (x1,y1) = (1,2)
The required equation of line is y – y1 = m(x – x1)
y – 2 = (x – 1)
4y – 8 = 3x – 3
3x – 4y + 5 = 0
Hence, The equation of line is 3x – 4y + 5 = 0