Find the equation of a line passing through the point `(2,-3)` and makes an angle of `45^(@)` from `X`-axis.

Find the equation of a line passing through the point (0,-2) and makes an angle of 75^(@) from the positive direction of X -axis.

Find the equation of a line passing through the point (0,-2) and makes an angle of 75^(@) from the positive direction of X -axis.

Find the equation of a line passing through the point (-2,0) and makes an angle of (2pi)/(3) from the positive direction of X- axis.

Find the equation of a line passing through the point (-2,0) and makes an angle of (2pi)/(3) from the positive direction of X- axis.

(i) Find the equation of line passing through (2,2) and makes an angle of 135^(@) from positive direction of X -axis. (ii) Find the equation of a line passing through the point (2,1) and makes an angle 'theta' from the positive direction of X -axis where cos theta=-(1)/(3) .

Find the equation of the straight line which pass through the point (3,2) and make an angle of 45^(@) with the positive x axis.

Find the equation of the straight lines passing through the point (-3,2) and making an angle 45^(@) with the straight line 3x-y+4=0

Find the equation of the line through the point A(2,3) and making an angle an angle of 45^(@) with the x-axis.Also,determine the length of intercept on it between A and the line x+y+1=0.