Let A(2, 0), B(0, 2), and C(-2, 0) be three points. If a, b, and c are the perpendicular distances from a variable point P to the lines AB, BC, and CA respectively, and a, b, and c are in arithmetic progression, then the locus of P is given by:

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.