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# ICSE Class 9 Mathematics Revision Notes Chapter 27 - Graphical Solution

Last updated date: 09th Aug 2024
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## Revision Notes for ICSE Class 9 Mathematics Chapter 27 - Free PDF Download

For the students of ICSE, mathematics is the most challenging and the toughest subject. It is not easy to prepare the Mathematics chapters of the ICSE textbooks without practicing. Students should concentrate on their studies and practice these chapters using various study materials.

Chapter 27 Graphical Solutions is one of the ICSE textbook chapters. Students can prepare this chapter through revision notes, textbooks questions, sample papers and worksheets. They can also refer to the NCERT Solutions of Chapter 3 Coordinate Geometry and Chapter 4 Linear Equations in Two Variables of the CBSE Class 9 Maths NCERT book. Working on these study materials will enable students to solve every question without any hesitation and help them in preparing well for their Class 9 Maths examination.

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## Revision Notes for ICSE Class 9

Free PDF download of Class 9 Mathematics Chapter 27 - Graphical Solution (Solution of Simultaneous Linear Equations, Graphically) Revision Notes & Short Key-notes prepared by our expert Maths teachers as per ICSE guidelines. To register Maths Tuitions on Vedantu.com to clear your doubts.

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## FAQs on ICSE Class 9 Mathematics Revision Notes Chapter 27 - Graphical Solution

1. Why should students refer to Vedantu for accessing revision notes of Chapter 27 Graphical Solutions of Class 9 Mathematics?

Students should always refer to Vedantu for accessing revision notes of Chapter 27 Graphical Solution of Class 9 Mathematics because they will be benefitted. These benefits are as follows:

• The notes are written in easy language.
• As the notes are prepared by the experts, therefore it covers each concept of the chapter.
• Vedantu allows them to download these notes in the form of PDF files.
• Students can discuss their doubts with Vedantu teachers.
• Besides the revision notes, it also provides other study materials like NCERT solutions, popular books solutions, important concepts, etc.

2. What is the procedure of drawing the graph for a particular linear equation?

The general form of the linear equation is in the form of ax + by + c = 0. The steps for drawing the graph for a given linear equation is mentioned below:

• Make a xy-plane on the graph paper. The variables x and y are the subject of the equation.
• Find at least three values for the variables x and y by using the given equation.
• Make a table of these values.
• Now, students should plot the ordered pairs of the values in the xy-plane.
• Join these plotted points by making a straight line in the graph.

3. What will be the relation between the variables x and y if the graph passes through (-3, -2) and (0, 1)?

Let y = mx + c be the linear relation between the variables x and y. The graph passes through the points (-3, -2) and (0, 1).

Taking the first point (-3, -2), substitute the values of x = -3 and y = -2 in y = mx + c

-2 = -3m + c.        (a)

Now, taking the point (0, 1), put x = 0 and y = 1 in y = mx + c

1 = m × 0 + c

c = 1

Now in equation (a), put the value of c

-2 = -3m + c

-2 = -3m + 1

m = 1

Hence, the required relationship between the variables x and y is

y = x + 1

4. How to prepare Chapter 27 Graphical Solutions for the Class 9 Maths examination?

Chapter 27 Graphical Solutions of Class 9 Mathematics is a scoring chapter. This chapter is very easy to understand and students are advised to practice this lesson thoroughly. They refer to the ICSE and the CBSE NCERT books to comprehend every topic of the chapter. By practicing the questions of the textbooks, sample papers and previous years question papers will help them to make a strong grip on the concepts. The revision notes of this chapter prove to be fruitful at the time of the Class 9 Maths examination. These mentioned strategies will help students to prepare Chapter 27 Graphical Solutions of Class 9 Maths. Students can download free study material in PDF format from Vedantu for free.

5. What are the important key points to remember while making the graph for a particular equation?

Below-mentioned is the significant key points to remember while making the graph for a particular equation:

• y = 0 is the equation of the x-axis and x = 0 is the equation of the y-axis.
• When a is constant then, the graph for x = a is a straight line that is parallel to the y-axis and at a distance of ‘a’ units from the y-axis.
• When a is constant then, the graph of y = b is a straight line that is parallel to the x-axis at a distance of ‘b’ units from the x-axis.