2.8.3

Solve Linear Equations Graphically

Test yourself

Solving Linear Equations Graphically

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One line

  • To solve a linear equation, plot the line and see where it crosses the x axis.
  • The line y = 2x - 4 crosses the x axis at (2, 0) so the solution is x = 2.
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Two lines

  • For an equation where x is on both sides, plot both lines and find the x-coordinate of the point where they intersect.
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Two lines - example

  • The example shows 2x + 2 = x + 3. Both lines are plotted.
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Two lines - example

  • They intersect at (1, 4) so the solution is x = 1.

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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