Below are two vectors, that will used to create a line. You can adjust these, by moving the blue circles.[br][br]Then, slide the slider, to show how the line is created. After you change the scalar value, push "Show Line" to see the entire line, for all t values.[br][br]Then, push reset, and try to create a new line. Then, answer the questions below.

[b]Question 1: [/b]How does vector [b]b[/b] affect the line? How does vector [b]a[/b] affect the line?[b][br][br]Question 2:[/b] Explain in your own words, how the line is created from these two vectors.[br][br][b]Question 3: [/b]From your answers to question 1 and 2, write the equation for the line using these two vectors, in the form [math]\left(\begin{matrix}\begin{matrix}\begin{matrix}x\\y\end{matrix}\end{matrix}\end{matrix}\right)[/math]= ... [b]Note:[/b] In this example, we only show a few t values, but to show the whole line, we need all [math]t\in\mathbb{R}[/math].[br][br][b]Question 4:[/b] Compare this equation to the normal line, y=mx+c. How is it similar?[br][br]