In this application, we are finding the line between two points, A and B. You can move points A and B, by dragging the blue circles. We can also find different equations for the lines, shown by sliding the slider named "Equation Number".[br][br]Play around with the application, taking note of the vector equation and Cartesian equation. Then, answer the questions below.

[b]Question 1: [/b]Cycle through the four different vector equations. What do you notice about the lines they represent?[br][br][b]Question 2:[/b] How does this compare to the Cartesian equation?[br][br][b]Question 3: [/b]For each equation, explain clearly (in terms of A and B) how the equations were made.[br]Line 1:[br]Line 2:[br]Line 3:[br]Line 4:[br][br][b]Question 4: [/b]Convert one of the vector equations to the Cartesian equation.[br][br][b]Question 5: [/b]Given the vector equation, how can we find the slope of the line? Make an equation.