Systems of Linear Equations Exploration
In this worksheet you will investigate the types of solutions for linear systems. Move the sliders to change the slope and y-intercepts of lines 1 & 2.
1) Move the sliders till you see the two lines intersect:
a) What do you notice about the equations? b) What do you notice about the graphs of the lines?
2) Move the slider till the lines do not intersect and are parallel:
a) What do you notice about the equations? b) What do you notice about the graphs of the lines?
3) Move the slider till you see one line.
a) What do you notice about the equations? b) What do you notice about the graphs of the lines?