[/color]Introduction to Systems of Linear Equations
In the graph below, use the sliders labeled m1 and m2 to change the slope of the line and the ones labeled b1 and b2 to change the y-intercept.
Move the sliders to see how they affect the lines and the point of intersection.
Recall that the point of intersection is the solution to a system of linear equations.

1. Move the sliders so that the slope of the two lines are equal, but the y-intercepts are different. What is true about the lines and the point of intersection? What does this mean about the solution of that system?
2. Move the sliders so that both the slope and y-intercept of the lines are equal. What is true about the two lines now?
3. Move the sliders so that the slopes are different. What is true about the two lines and the point of intersection now?