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Graphical Solution — Chapter Summary

ICSE · Class 9 · Mathematics

Summary of Graphical Solution for ICSE Class 9 Mathematics. Key concepts: An equation of the form, First make x or y and The graph of x=a is.

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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One of 7 illustrations for Graphical Solution in Super Tutor — alongside flashcards, concept maps and practice questions.

Overview

A linear equation in two variables has a straight-line graph. The graph of a line can be drawn by taking suitable values of one variable, finding the corresponding values of the other, and plotting the points. The graphical method also helps solve simultaneous linear equations by finding the point w

Key Concepts

An equation of the form ax+by+c=0

An equation of the form ax+by+c=0 is a linear equation in two variables, where x and y are variables and a, b, c are constants. Its graph is a straigh

First make x or y

First make x or y the subject. Then choose at least three suitable values, find corresponding values of the other variable, make a table, plot the poi

The graph of x=a is

The graph of x=a is a straight line parallel to the y-axis and at a distance of a units from the y-axis.

The graph of y=b is

The graph of y=b is a straight line parallel to the x-axis and at a distance of b units from it.

To solve two linear equations graphically

To solve two linear equations graphically, draw both lines on the same graph paper and find their point of intersection. The coordinates of the point

Learning Objectives

  • To understand the general form of a linear equation in two variables, ax+by+c=0
  • To draw the graph of a linear equation using a table of values
  • To identify the graphs of x=0, y=0, x=a, and y=b
  • To find unknown values from a graph
  • To solve simultaneous 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 Chapter Summary

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