Skill: systems-of-equations
Graphing Lab: Where Lines Meet
Move the sliders to change each line’s slope and intercept. The lab draws both lines, marks their intersection, and tells you which of the three cases you are looking at.
Line explorer
line 1
line 2
intersection
Challenges
Match the lines
Set the four sliders so the lines match, then press Check. Then read the intersection point and check that too.
Make each case happen
Can you make the readout say all three: one solution, no solution, infinitely many? Try slopes 1 and 1 with different intercepts, then equal intercepts.