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Graphical Solution — Revision Notes

ICSE · Class 9 · Mathematics

Graphical Solution revision notes for ICSE Class 9 Mathematics: 4 topics in quick points. Part of the ICSE Class 9 Mathematics syllabus.

37 questions30 flashcards15 formulas & key relations5 concepts

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A flowchart illustrating the step-by-step process of drawing the graph of a linear equation in two variables (ax + by + c = 0).
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Key Topics to Revise

1

1. Linear Equations in Two Variables

  • A linear equation in two variables has the general form ax+by+c=0.
  • Here x and y are variables, and a, b, c are constants.
  • Its graph is a straight line.
2

2. Graph of a Linear Equation

  • To draw the graph of ax+by+c=0, first make x or y the subject.
  • Then choose at least three suitable values and find the matching values.
  • Write the ordered pairs in a table.
3

3. Reading Unknown Values from a Graph

  • A graph can be used to find missing values in a table.
  • In one example, the value of a found from the graph is 5.
  • In the same example, the value of b found from the graph is -4.
4

4. Finding Points on a Line by Graphing

  • For 2x-3y+12=0, the equation can be written as x=(3y-12)/2.
  • The graph is drawn using points (-6,0), (-3,2), and (0,4).
  • If point (m,-2) lies on the line, then m=-9.

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Full Notes

Key Concepts

An equation of the form ax+by+c=0First make x or yThe graph of x=a isThe graph of y=b isTo solve two linear equations graphically

Frequently Asked Questions

What are the important topics in Graphical Solution for ICSE Class 9 Mathematics?
Key topics in Graphical Solution include Linear Equations in Two Variables, Graph of a Linear Equation, Reading Unknown Values from a Graph, Finding Points on a Line by Graphing. Study these first, then practise questions on each for Class 9 exams.
How should I revise Graphical Solution for Class 9 exams?
Learn the core ideas first, then work through the 37 practice questions on Graphical Solution. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Graphical Solution

All ICSE Class 9 Mathematics Revision Notes

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