Chapter 10.1, Problem 1ES

(a) By eliminating the parameter, sketch the trajectory over the time interval $0\le t\le 5$ of the particle whose parametric equations of motion are $x=t-1,y=t+1$

(b) Indicate the direction of motion on your sketch.

(c) Make a table of x- and y-coordinates of the particle at times $t=0,1,2,3,4,5.$

(d) Mark the position of the particle on the curve at the times in part (c), and label those positions with the values of t.