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Where Algebra Meets Graphs
Where Algebra Meets Graphs
Imagine you're at a funfair and two rides start from different points but follow specific paths. When do they meet? Where do they cross? This is what graphical solutions are all about - finding where equations intersect on a coordinate grid. Instead of pure algebra, we can SEE the answers!
Visual: Different Types of Graphical Solutions
Earn the mark scheme marks
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
Now try it yourself
Quiz · Question 1 of 9
A straight line y = 3x − 6 is plotted on a graph. Where does the solution to 3x − 6 = 0 appear on the graph?
Tap an answer to check it
This topic in real past papers
Every real exam question we've found on graphical solutions, with a full worked answer.