Find the slope from the pair of points

Express the following as a function of a single angle. cos(60) cos(-20) - sin(60) sin(-20)

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)

What is the value of x in the equation 3x4y65, when y=4?