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(a) Show that the parametric equations x = x1 + (X2 x1)t, y = Y1 + (Y2 Yt where 0 s t s 1, describe the line segment that joins the points P1(x1, V1) and P2(X2, Y2)- A This answer has not been graded yet. (b) Find parametric equations to represent the line segment from (1, 7) to (2, 1). (Enter your answer as a comma-separated list of equations. Let x and y be in terms of t.) S Describe the motion of a particle with position (x, y) as t varies in the given interval. (For each answer, enter an ordered pair of the form x, y.) x: 5 + sin(t), y = 2 + 4 cos(r), x/Z 5 ts 2:: The motion of the particle takes place on an ellipse centered at (X, y) = ( |:| ). As t goes from rr/Z to 27:, the particle starts at the point (x, y) = ( |:| ) and moves clockwise three-fourths of the way around the ellipse to (x, y) = (|:| )