2.7.3

Represent Gradient & Area

Test yourself

Gradient and Area of a Graph With Units

A real number is a number/value that shows a quantity (or amount) on a line/scale. For a graph showing two real quantities, the gradient and area also show real quantities.

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Gradient

  • For any graph the gradient represents: (y-axis units) per (x-axis units).
  • For example:
    • litres per second
    • £ per kg.
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Area

  • The area under the graph represents: (y-axis units) × (x-axis units).
  • For a velocity-time graph the area under the graph represents distance travelled because kmh × h = km.

Jump to other topics

1Number

1.1Using Numbers

1.2Fractions, Decimals & Percentages

1.3Powers & Roots

1.4Accuracy

2Algebra

2.1Introduction to Algebra

2.2Manipulating Algebra

2.3Proofs & Functions

2.4Straight Line Graphs

2.5Common Graphs

2.6Transformations & Tangents

2.7Properties of Graphs

2.8Solving Equations

2.9Inequalities

2.10Sequences

3Ratio

4Geometry

4.1Introduction to Geometry

4.2Triangles & Quadrilaterals

4.3Transformations

4.4Circle Basics

4.5Circle Theorems

4.6Measurements & Units

4.7Calculating Area

4.8Triangle Formulae

4.93D Shapes

4.10Vectors

5Probability

6Statistics

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