3. a vacuum robot is in a room and charging at position (0, 5). once charged, it begins moving on a northeast path at a constant speed of 1/2 foot per second along the line 4 − 3 = −15. after 60 seconds, it turns right 90° and travels in the new direction. a. what are the coordinates of the point at which the robot made the turn? b. find an equation for the second line on which the robot traveled. c. if after turning, the robot travels 80 seconds along this line, how far has it traveled from its starting position? d. what is the equation of the line the robot needs to travel along in order to return and recharge? how long will it take the robot to get there? show your work