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Graphing

Graphing. Why is graphing important?. Pictures are easier than complicated math!. They are useful for analyzing relationships. Axes. What is the x axis for?. Dependant Variable. What is the y axis for?. Independent Variable. Independent Variable.

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Graphing

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  1. Graphing

  2. Why is graphing important? Pictures are easier than complicated math! They are useful for analyzing relationships.

  3. Axes What is the x axis for? Dependant Variable What is the y axis for? Independent Variable

  4. Independent Variable Definition: Variable that is the cause of change in the system. Think of the letter x. It has 2 legs, it stands on its own! Very often our independent variable will be time.

  5. Dependent Variable Definition: the variable that shows the effect of the changes in the experiment. Think of the letter y. It only has one leg so it needs to depend on others to hold itself up.

  6. Label Axes Dist (m) Time (s) distance (m) time (s)

  7. Title Distance vs. Time Always title it y vs. x Left side of your graph to right side, just like you read distance (m) time (s)

  8. Distance vs. Time distance (m) time (s) Scaling WARNING!!! Graph breaking is absolutely not allowed!

  9. Scaling Choose an appropriate scale for each axis. Never skip different amounts of numbers within an axis! Ex: Don’t 5 0 10 20 50 Do 0 5 10 15 20

  10. Distance vs. Time distance (m) time (s) Line of best fit . . . . . It is a straight line that does not need to pass through all of your plotted points.

  11. Slope To find the slope of a line choose two different points along your best fit line Remember: (x,y) Write the coordinate of both of the points you chose. 1st Coordinate (x1, y1) 2nd Coordinate (x2, y2)

  12. Slope Slope = Rise over Run y2 - y1 ∆y Slope = = ∆ = delta = “change in” x2 - x1 ∆x So for our graph from before, since the y axis had distance and the x axis had time, y/x is the same as distance divided by time or: m/s

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