AlgebraDeep Dive

Method 1: Solving Linear Equations Graphically

Part of Graphical Solutions — GCSE Mathematics

This deep dive covers Method 1: Solving Linear Equations Graphically within Graphical Solutions for GCSE Mathematics. Revise Graphical Solutions in Algebra for GCSE Mathematics with 9 exam-style questions and 6 flashcards. This topic appears less often, but it can still be a useful differentiator on mixed-topic papers. It is section 3 of 9 in this topic. Use this deep dive to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 3 of 9

Practice

9 questions

Recall

6 flashcards

Method 1: Solving Linear Equations Graphically

Rearrange equation to y = mx + c form
Plot the line using gradient and y-intercept
Find x-intercept (where line crosses x-axis, y = 0)
Read coordinates carefully from the graph
Check by substituting back into original equation

Keep building this topic

Read this section alongside the surrounding pages in Graphical Solutions. That gives you the full topic sequence instead of a single isolated revision point.

What Can We Solve Graphically?Worked Example 1: Linear Equation Where Algebra Meets Graphs Method 2: Solving Simultaneous Equations Graphically

Practice Questions for Graphical Solutions

A straight line y = 3x − 6 is plotted on a graph. Where does the solution to 3x − 6 = 0 appear on the graph?

A. Where the line crosses the y-axis
B. Where the line crosses the x-axis
C. At the origin
D. At the turning point of the line

1 markfoundation

A student tries to solve the simultaneous equations y = 3x + 2 and y = 3x − 5 graphically. Explain what they will see on the graph and what this means for the solution.

2 marksstandard

Quick Recall Flashcards

Graphical Solution

Finding where two graphs intersect gives the solution to simultaneous equations

Intersection Point

The point where two graphs cross - this gives x and y values that satisfy both equations

Want to test your knowledge?

PrepWise has 9 exam-style questions and 6 flashcards for Graphical Solutions — with adaptive difficulty and instant feedback.

Join Alpha

What Can We Solve Graphically?

Worked Example 1: Linear Equation