NCERT Solutions Class 8 Maths Chapter 13 Introduction to Graphs Exercise 13.2

NCERT Solutions Class 8 Maths Chapter 13 Introduction to Graphs Exercise 13.2 focuses on interpreting and understanding line graphs. In this exercise, students will learn how to read information from line graphs and answer questions based on trends, comparisons, and changes over time. It helps students visualize data in a simple and logical way.

These NCERT Solutions are created to guide students through each question with step-by-step explanations and examples. The clear approach makes it easier for Class 8 students to grasp the concept of graph reading and data analysis. Practicing these solutions boosts confidence and builds a strong foundation in handling real-life data through graphs.

1.0Download NCERT Solutions Class 8 Maths Chapter 13 Introduction to Graphs Exercise 13.2: Free PDF

Download the free NCERT Solutions Class 8 Maths Chapter 13 Introduction to Graphs Exercise 13.2 PDF with simple, step-by-step answers to help you understand and plot graphs easily.

2.0Key Concepts in Exercise 13.2 of Class 8 Maths Chapter 13

Exercise 13.2 continues building on students' understanding of graphs by focusing on plotting points on the Cartesian plane. This exercise lays the groundwork for coordinate geometry and helps students learn how algebra and geometry connect through graphs.

• Cartesian Plane and Coordinates:
  Students are introduced to the x-axis and y-axis, and the concept of ordered pairs (x, y) to locate points on a graph.
• Plotting Points:
  Learners practice how to correctly plot a given set of coordinates on the Cartesian plane. The focus is on understanding how the first number (x-coordinate) indicates the horizontal position and the second number (y-coordinate) indicates the vertical position.
• Understanding Quadrants:
  Students identify the quadrants in which a point lies based on the sign of the x and y values (positive or negative).
• Connecting Points to Form Figures:
  Some questions involve plotting multiple points and then joining them to form shapes or graphs, enhancing spatial understanding.
• Real-Life Application:
  The exercise shows how plotting points can help represent real-world data, such as location on a map or data comparison over time.

3.0NCERT Class 8 Maths Chapter 13: Other Exercises

4.0NCERT Class 8 Maths Chapter 13 Exercise 13.2: Detailed Solutions

1. Plot the following points on a graph sheet. Verify if they lie on a line (a) $\mathrm{A}(4,0),\mathrm{B}(4,2),\mathrm{C}(4,6),\mathrm{D}(4,2.5)$ (b) $P(1,1),Q(2,2),R(3,3),S(4,4)$ (c) $\mathrm{K}(2,3),\mathrm{L}(5,3),\mathrm{M}(5,5),\mathrm{N}(2,5)$. Sol. (a) Draw the x -axis and y -axis. Plot the points A $(4,0),B(4,2),C(4,6)$ and $D(4$, 2.5) as shown. Clearly, these points lie on a line ABDC.
   
   (b) Draw the x -axis and y -axis. Plot the points $P(1,1),Q(2,2),R(3,3),S(4,4)$ as shown. Clearly, these points lie on a line PQRS.
   
   (c) Draw the $x$-axis and $y$-axis. Plot the points $\mathrm{K}(2,3),\mathrm{L}(5,3),\mathrm{M}(5,5),\mathrm{N}(2,5)$ as shown. Clearly, these points will not lie on a line.
   
2. Draw the line passing through $(2,3)$ and $(3,2)$. Find the coordinates of the points at which, this line meets the $x$-axis and $y$ axis. Sol.
   
   Draw the x -axis and y -axis. Plot the points $(2,3)$ and $(3,2)$. Extend the line to the axis. The extended line will meet at 5 on x -axis and 5 on $y$-axis. The coordinate are $(0,5)$ and $(5,0)$.
3. Write the coordinates of the vertices of each of the figures in the graph given.
   
   Sol. Clearly, from the graph the coordinates of points are : $\mathrm{O}(0,0),\mathrm{A}(2,0),\mathrm{B}(2,3)$ and $\mathrm{C}(0,3)$; $P(4,3),Q(6,1),R(6,5)$ and $S(4,7)$; $\mathrm{L}(7,7),\mathrm{M}(10,8)$ and $\mathrm{K}(10,5)$.
4. State whether True or False. Correct that are false. (i) A point whose $x$-coordinate is zero and $y$ coordinate is non-zero will lie on the $y$ axis. (ii) A point whose $y$-coordinate is zero and $x$ coordinate is 5 will lie on $y$-axis. (iii) The coordinates of the origin are $(0,0)$. Sol. (i) True. (ii) False. Correct statement is : A point whose $y$-coordinate is zero and $x$ coordinate is 5 will lie on x -axis. (iii) True.

5.0Key Features and Benefits of Class 8 Maths Chapter 13 Exercise 13.2

• Understanding Location of Points: Exercise 13.2 teaches students how to plot and locate points on a graph using x and y coordinates.
• Builds Graph-Reading Skills: Students learn how to read and understand the position of points on the Cartesian plane.
• Step-by-Step Practice: The exercise includes simple questions that guide students gradually to understand plotting on graph paper.
• Improves Accuracy and Observation: This topic helps sharpen focus and accuracy, which is useful in other subjects and real-life scenarios.
• Aligned with NCERT Textbook: All questions are from the NCERT book, making this exercise great for exam prep and classroom learning.