Mr. Pinilla's Linear Relationships Lab · 5.4

Proportional vs. Non-Proportional · Explore slope, rise, run and y-intercept · No AI or API required

1. Real-life scenario

Scenario illustration
Scenario artwork is stored in the site. No AI image requests.

2. Live graph

Drag the green START point or red END point along the line. Release either point to freeze both coordinates, rise, and run. Drag again to explore a new point. Drag the blue point to change b, or drag the orange point to change m. The green and red points move along the line without changing its equation or slope.

3. Rise and run

Run is the horizontal change (right). Rise is the vertical change (up or down). Rise = slope × run. Drag either endpoint on the graph and release to freeze the triangle. You can also adjust the run slider to explore equivalent slope triangles. The slope stays constant when only run changes.

4. Table of values

xm × xby

5. Predict and check

6. What changed?

7. Compare two lines

The dashed gray line is your saved baseline. The solid blue line changes when you move the controls.

8. Predict before you move

Experiment: