RS Aggarwal Class 8 Maths Chapter 23 Ex 23.1 Solutions: In this exercise, the student will know about line graphs & linear graphs. The solutions of Chapter 23 Exercise 23.1- Line Graphs and Linear Graphs enable the students to study the way to draw graphs, line graphs, reading those graphs, reading single and double line graphs, and understanding the whole concept of linear graphs.
RS Aggarwal Class 8 Maths Chapter 23 Ex 23.1 Solutions are designed according to the CBSE syllabus & guidelines. These solutions enable the students to clearly know the topics relating to line graphs & linear graphs in detail. Each answer is illustrated in detail & in an easy language to assist students to understand these topics quickly.
Download RS Aggarwal Class 8 Maths Chapter 23 Ex 23.1 Solutions
Important Definition for RS Aggarwal Class 8 Maths Chapter 23 Ex 23.1 Solutions
- Line Graph
It is a graph that uses lines & points to represent change over time. It is a line that shows the relation between the points or chart that shows a line joining several points. The graph represents quantitative data between two changing variables with a curve or line that joins a series of consecutive data points. Linear graphs compare these two variables on a horizontal axis & a vertical axis.
- Types of Line Graphs
(i) Simple Line Graph: In this type of line graph, only one line is plotted on the graph.
(ii) Multiple Line Graph: In this type of line graph, more than one line is plotted on the same set of axes. A multiple line graph can compare similar items over the same period of time.
(iii) Compound Line Graph: If information can be bifurcated into 2 or more types of data, it is known as a compound line graph. Lines are drawn to illustrate the basic portion of a total. The top line shows the total and the line below shows part of the total. The distance between every two lines shows the size of each part.
- Steps to Make a Line Graph
(i) Utilize the data from the data-table to choose a suitable scale.
(ii) Draw & label the scale on the horizontal (x-axis) axes & vertical (y-axis).
(iii) List each item & place the points on the graph.
(iv) Join the points with line segments.
- Linear Graph Equation
The linear graph makes a straight line & represented by an equation of y = mx + c, where m is the gradient of the graph and c is the y-intercept of the graph.
The gradient between any two points (x1, y1) and (x2, y2) are any two points on the linear or straight line.
The value of gradient m is the ratio of the difference of y-coordinates to the difference of x-coordinates i.e. m = y2 – y1/x2 – x1 Or y – y1 = m (x – x1)
The linear equation can also be written as ax + by + c = 0, where a, b, and c are constants
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