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Mathematical Requirements (Appendix C)

What a gradient and an intercept represent

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Recall questions on What a gradient and an intercept represent.

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Key term

What type of relationship does the equation y = mx + c represent?

Key term

What two key features can be determined from a linear graph?

Key term

How can you use a logarithmic plot to test for an exponential relationship?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What is the purpose of plotting two variables from experimental data on a graph?

    Model answer

    To identify relationships between variables, determine gradients and intercepts, and test physical models.

  2. 2

    What type of relationship does the equation y = mx + c represent?

    Model answer

    A linear relationship.

  3. 3

    What two key features can be determined from a linear graph?

    Model answer

    The slope (gradient) and the intercept.

  4. 4

    How is the rate of change of a quantity found from a graph showing a linear relationship?

    Model answer

    By calculating the gradient of the graph.

  5. 5

    How can you use a logarithmic plot to test for an exponential relationship?

    Model answer

    Plot ln(y) against x; if the relationship is exponential (y = Ae^(kx)), the graph will be a straight line with gradient k.

  6. 6

    How can you use a logarithmic plot to test for a power law relationship?

    Model answer

    Plot log(y) against log(x); if the relationship is a power law (y = kxⁿ), the graph will be a straight line with gradient n.

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