Problem 7.15. Two particles are moving in the xy-plane. The move along straight lines at con stant speed. At time t, particle A's position is given by x=t+2, y =-t-3 and particle B's position is given by x=12-2t, y = 6-3t. (a) Find the equation of the line along which particle A moves. Sketch this line, and label A's starting point and direction of motion. (b) Find the equation of the line along which particle B moves. Sketch this line on the same axes, and label B's starting point and direction of motion. (c) Find the time (i.e., the value of t) at which the distance between A and B is minimal. Find the locations of particles A and B at this time, and label them on your graph
