Gradients of Real-Life Graphs (AQA GCSE Maths): Flashcards

Rate of change

y-axis units per x-axis units

$\frac{\text{change in y}}{\text{change in x}}$

Speed (metres per second)

Draw straight line between 2 points, calculate gradient

Straight line touching curve at exactly one point

Draw tangent at point, calculate its gradient

Instantaneous rate at that point

Straight line: average rate; Tangent: rate at point

Must make physical sense for measurement