Chapter 8 - Complex Numbers, Polar Equations, and Parametric Equations - Section 8.6 Parametric Equations, Graphs, and Applications - 8.6 Exercises - Page 404: 27

(a) We can see the graph below. (b) $y = x - 6$

$x = t+2$ $y = t-4$ (a) t = -2: $x = (-2)+2 = 0$ $y = (-2)-4 = -6$ t = -1: $x = (-1)+2 = 1$ $y = (-1)-4 = -5$ t = 0: $x = (0)+2 = 2$ $y = (0)-4 = -4$ t = 1: $x = (1)+2 = 3$ $y = (1)-4 = -3$ t = 2: $x = (2)+2 = 4$ $y = (2)-4 = -2$ We can see the graph below. (b) $x = t+2$ $t = x-2$ $y = t-4$ $y = (x-2)-4$ $y = x - 6$