GCSE Maths (AQA)

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Gradient of a Chord

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Algebra Graphs

Gradient of a Chord

5:12 Non-Linear Gradients
Spec A15
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  • A chord is a straight line that connects two points on a curve
  • The gradient of a chord is equal to the average gradient of the curve between the two points it joins
  • The gradient of a straight line can be calculated by dividing the change in the y coordinate by the change in the x coordinate
  • The formula for calculating the gradient is y2 minus y1 over x2 minus x1
  • Drawing the chord is a helpful way to understand and solve problems involving gradients
  • The closer together the two points are, the closer the gradient of the chord will be to the instantaneous gradient at the points
  • The tangent line is related to chords of the curve, and can be thought of as an extension of the chord drawn between two points that are infinitely close together
  • Computers can estimate instantaneous gradients by calculating the gradient of a chord between two points that are very close together

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