Chapter 8.6, Problem 10CFU

To determine

To create: a table of values and then graph the line for the given parametric equations.

Answer to Problem 10CFU

$t$	$x$	$y$
$-$ 2	$-$ 6	$-$ 3
$-$ 1	$-$ 2	$-$ 2
0	2	$-$ 1
1	6	0
2	10	1

Explanation of Solution

Given information:

Parametric equations are as follows:

  $\begin{array}{c}x=2+4t\\ y=-1+t\end{array}$

Calculation:

Plug in different values of $t$ in each equation to evaluate the value of $x\text{ and }y$ ; and then create a table of values as shown below.

$t$	$x$	$y$
$-$ 2	$-$ 6	$-$ 3
$-$ 1	$-$ 2	$-$ 2
0	2	$-$ 1
1	6	0
2	10	1

Now plot the coordinates and join them smoothly to get a graph the line for the given parametric equations as shown below.