If cos7x-cos8x/1+2cos5x=cos(ax)-cos(bx ),where a, b are positive integers, then a²+b²=?? pls help! :(​

Line segment eg is partitioned by point f in the ratio 1: 1. point e is at e (0, 4), and point f is at (1, 3). what are the coordinates of point g? (−1, 5) (2, 2) (3, 1) (4, 0)