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# Points, Vectors, and Functions

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# Parameterization of Lines Exercises

### Example 1

Parameterize. basic and direction

- The line that goes through the points (4,8) and (10,4), going from

- left to right.
- right to left.

### Example 2

Parameterize.

- The line that goes through the points (-2, 3) and (5, -4), going from

- left to right.
- right to left.

### Example 3

- Parameterize. bounding parameter

- The ray shown below.

### Example 4

Parameterize. playing with time steps

- The line that takes 4 time steps to travel from (0,5) to (20, 1).

### Example 5

- Parameterize. playing with time steps

- The line that takes 0.5 time steps to travel from (0,5) to (20, 1).

### Example 6

For each set of parametric equations, eliminate the parameter to find the equation of a line.

- x = 5t and y = t-3

### Example 7

For each set of parametric equations, eliminate the parameter to find the equation of a line.

- x = 3t-2 and y = 6t + 1

### Example 8

For each set of parametric equations, eliminate the parameter to find the equation of a line.

- x = 4t + 1 and y = 2t-7