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Points, Vectors, and Functions

Points, Vectors, and Functions

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
  1. left to right.
  2. right to left.

Example 2

Parametrize

  • The line that goes through the points (-2, 3) and (5, -4), going from
  1. left to right.
  2. 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) = 3t – 2 and y(t) = 6t + 1

Example 7

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

  • x(t) = 4t + 1 and y(t) = 2t – 7