Find the equation of the straight lines passing through the origin and making an angle of 450 with the straight line.

Given:


Equation passes through (0, 0) and make an angle of 45° with the line


To find:


Equation of given line


Explanation:


We know that, the equations of two lines passing through a point x1,y1 and making an angle α with the given line y = mx + c are



Here,
x1 = 0, y1 = 0,
α = 45° and m =


So, the equations of the required lines are






Hence, Equation of given line is


1