3.5.1

Gradient on a Straight Line

Test yourself

Gradient of a Straight Line Graph

For a straight line graph the gradient is the constant of proportionality k. y = kx.

Illustrative background for y = 2xIllustrative background for y = 2x ?? "content

y = 2x

  • For every increase in x, y increases by twice that amount.
  • Since it goes through the origin, y is always double x.
  • y is directly proportional to x with k = 2.
Illustrative background for y = 2x + 3Illustrative background for y = 2x + 3 ?? "content

y = 2x + 3

  • This graph shows y = 2x + 3.
  • Every increase in x corresponds to twice that increase in y.
  • y is not directly proportional to x because of the '+ 3'.

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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