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Points, Vectors, and Functions

Points, Vectors, and Functions

Example 1

Parameterize. basic and direction

  • The line that goes through the points (4,8) and (10,4), going from
  1. left to right.
  2. right to left.

Example 2

Parameterize. 

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