Interactive applet
Slope and Rate of Change
Drag two points. Watch rise, run, slope, and the equation y = mx + b update together.
Hands-on lab
Drag A and B
Rise / run triangle
3 / 6 = 0.5
Positive slope: both variables increase together.
Equation
y = 0.5x + 2
Missions
- Make the slope equal 2
- Make a horizontal line (slope 0)
- Make a negative slope
0/3 complete
Guided questions
Place the points so the slope is 2. What did you change — rise, run, or both?
Reflection
In your own words, why is the slope the same no matter which two points you pick on a line?
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