GCSE Maths (Edexcel)

435 videos | 33 hours

Gradient of a Chord

Please subscribe to watch this video.

This, and all other videos, are included in our premium subscriptions.

Premium accounts get access to all videos.

Algebra Graphs

Gradient of a Chord

5:12 Non-Linear Gradients
Spec A15
Previous Gradient of a Tangent Next Interpreting Non-Linear Gradients
  • 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

Please subscribe to access these revision notes.

This, and all other video notes, are included in our premium subscriptions.

Premium accounts get access to all videos and revision notes.