Let l be the line 2x - 3y + 1 = 0. If another line m passes through the origin and is perpendicular to l, and θ is the angle between line l and the x-axis, then find the value of sin(θ).

Find the equation of a straight line passing through the points (1, 3) and (-2, 4).

Find the equation of the straight line upon which the length of the perpendicular from the origin is 4√2 units and this perpendicular makes an angle of 75° with the positive direction of the x-axis.