Please answer

Answer the following problems. Show your solutions. 1. The segment from (-1, 4) to (2, -2) is extended (towards the fourth quadrant) three times its own length. What is the midpoint of the resulting line segment? 2. What is the location of the midpoint from the previous problem in terms of polar coordinates? 3. Determine the length of the line segment from (-3, 225) to (2, -60). 4. Determine the ordinate of the third vertex (2,y) of a triangle with an area of 27 and two other vertices (-4, 6) and (2, -6) 5. What point is two-thirds of the way from the origin to (5, -2)? For nos. 6-8, find the intercepts, and test for horizontal, vertical, and diagonal asymptotes 6. y= (x-2)(x+3) (x-1) 7. y = (2x+1)(x+3) (x-1)(x+2) 8. x3- xy - 4x - y = 0