(552, #27) Show that the parametric equations

where , describe the line segment that joins the points

Solution: We begin by eliminating the parameter:

The last equation is an equation of a line. Thus the points (x,y) lie on a straight line.

At the point t=0 we have. At the point t = 1 we have . Consequently, the parametric curve is the straight line from to .

by: gm