Answer
(a) We can see the graph below.
(b) $y = x - 6$
![](https://gradesaver.s3.amazonaws.com/uploads/solution/fee33822-dce9-4980-9cc2-c5bbf9117ccd/result_image/1529562172.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240908%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240908T001636Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=47faa28acb331ab9f46de861cfa5e661744f184467a9e9712a2a1f014f09e312)
Work Step by Step
$x = t+2$
$y = t-4$
(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)
$x = t+2$
$t = x-2$
$y = t-4$
$y = (x-2)-4$
$y = x - 6$
![](https://gradesaver.s3.amazonaws.com/uploads/solution/fee33822-dce9-4980-9cc2-c5bbf9117ccd/steps_image/small_1529562172.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240908%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240908T001636Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=cf476771ffd28267e2dcc6c7b610f7843ab9dad89e02f99fab8b5cca433394ff)