Describe the plane that contains following point and line.


2
0
3

 ,





−1
0
−4

 + t


2
2
4


To describe the plane that contains a point and a line, we can use the information given.

### Given:
- A point \( P(2, 0, 3) \)
- A line defined by the parametric equation:
  \[
  \mathbf{r}(t) = \begin{pmatrix} -1 \\ 0 \\ -4 \end{pmatrix} + t \begin{pmatrix} 2 \\ 

Learn how to describe the plane that contains a given point (2, 0, 3) and a line defined by the parametric equation (-1, 0, -4) + t(2, 2, 4). This problem involves analytic geometry and vector algebra, suitable for college-level students.

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