The equations of the lines through the point (3, 2) which makes an angle of `45^(@)` with the line x - 2y = 3 are

The slopes of the lines which make an angle 45^(@) with the line 3x - y = -5 are

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

Find the equation of a line through the origin which makes an angle of 45^(@) with the positive direction of x-axis.

Find the equation of the line passing through the point (-2, 3) with slope - 4.

The equations of the lines through (-1,-1) and making angles 45^(@) with the line x + y = 0 are given by

Prove that the equations to the straight lines through the origin each of which makes an angle alpha with the straight line y=x is x^(2)-2xysec2alpha+y^(2)=0 .

The slope of the line which makes an angle 45 with the line 3x-y=-5 are