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Mathematical Requirements (Appendix C)

Straight-line graphs and y = mx + c

  • 3 things to know
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Overview

Recall questions on Straight-line graphs and y = mx + c.

What you need to know

Answer each one before you reveal it.

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Key term

How does the kinematic equation v = u + at compare with the linear equation y = mx + c?

Key term

State the relationship between Young modulus, stress and strain.

Key term

In the equation y = mx + c, what do m and c represent?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    How is the Young modulus determined from a stress-strain graph?

    Model answer

    By finding the gradient of the linear (elastic) region of the graph.

  2. 2

    State the relationship between Young modulus, stress and strain.

    Model answer

    Young modulus E = stress/strain, which equals the gradient of the linear region on a stress-strain graph.

  3. 3

    In the equation y = mx + c, what do m and c represent?

    Model answer

    m is the gradient of the line and c is the y-intercept.

  4. 4

    How does the kinematic equation v = u + at compare with the linear equation y = mx + c?

    Model answer

    v corresponds to y, t corresponds to x, a corresponds to m (gradient), and u corresponds to c (y-intercept).

  5. 5

    Calculate the gradient when change in y = 76.5, change in x = 6.5.

    Model answer

    Gradient = 76.5 ÷ 6.5 = 11.8.

  6. 6

    Define the y-intercept of a linear graph.

    Model answer

    The value of y where the line crosses the y-axis, corresponding to x = 0.

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