# Parameterization of Lines Exercises

### Example 1

What's a parametrization of

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

- left to right.
- right to left.

### Example 2

Parametrize

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

- left to right.
- right to left.

### Example 3

Parametrize

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

### Example 4

Parametrize

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

### Example 5

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

*x*(*t*) = 5t and*y*(*t*) =*t*– 3

### Example 6

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

*x*(*t*) = 3*t*– 2 and*y*(*t*) = 6*t*+ 1

### Example 7

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

*x*(*t*) = 4*t*+ 1 and*y*(*t*) = 2*t*– 7