This exam tips covers Reading Solutions from Graphs within Graphical Solutions for GCSE Mathematics. Revise Graphical Solutions in Algebra for GCSE Mathematics with 9 exam-style questions and 6 flashcards. Use this page as part of a wider topic revision path rather than treating it as an isolated fact. It is section 9 of 10 in this topic. Treat this as a marking guide for what examiners are looking for, not just a fact list.
Reading Solutions from Graphs
Inaccurate:
Guessing coordinates roughly
Accurate:
Use grid lines, zoom in, or use a ruler
Incomplete:
Only finding one root of a quadratic
Complete:
Look for all intersection points
Assumption:
Not checking if answer makes sense
Verification:
Always substitute back into original equation
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 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.
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