Graphing lines – slope and y-intercept
MathematicsFunctions & GraphsAges 13–14
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Sign in to playFour screens for exploring the straight line y = ax + b: drag two points to find the slope with a rise-over-run triangle; set the slope (as a fraction numerator/denominator) and the y-intercept with +/− buttons or by dragging directly on the line; write the equation of a line from a given point and slope; and play a 4-level game that mixes three question types (graph a line from its equation, write the equation from a graph, pick two points on the line). Adapted from the "Graphing Lines" simulation by PhET Interactive Simulations, University of Colorado Boulder (CC BY 4.0); rewritten.
Lesson: Linear functions and straight-line graphs
How to use
Parameters you can change
- Screen Slope (2 points), Slope-intercept, Point-slope, Game
- Point 1 – x-coordinate x₁ (Slope screen) -8–8
- Point 1 – y-coordinate y₁ (Slope screen) -8–8
- Point 2 – x-coordinate x₂ (Slope screen) -8–8
- Point 2 – y-coordinate y₂ (Slope screen) -8–8
- Slope – numerator a -8–8
- Slope – denominator b 1–5
- y-intercept c (Slope-intercept screen) -8–8
- Given point – x-coordinate x₁ (Point-slope screen) -8–8
- Given point – y-coordinate y₁ (Point-slope screen) -8–8
- Also show the slope as a decimal
- Show slope triangle (Slope screen)
