Plotting a Linear Equation On Graph
Plotting a Linear Equation On Graph
A linear equation in two variables has infinitely many solutions. We can plot these solutions on a graph. Each solution represents a point on the graph, Let us take any three solutions and plot them on the graph as P, Q and R, we will see that on joining these three points we get a straight line passing through them. We find that a linear equation in two variables is geometrically represented by a line such that:
(i) Every solution of the linear equation represents a point on the line.
(ii) Every point on the line is a solution of the linear equation.
Illustration: Draw the graph of the equation y-x=2
Solution: We will try to find three solutions for the linear equation,
When we have :
When we have :
When we have :
Thus, we have the following table exhibiting the abscissae and ordinates of points on the line represented by the given equation
| x | 1 | 3 | 4 |
| y | 3 | 5 | 6 |
Plotting the points (1,3), (3,5) and (4,6) on the graph paper and drawing a line joining them , we obtain the graph of the line represented by the given equation
For the given graph select the equation from the given choices
| |||
| Right Option : B | |||
| View Explanation | |||
Choose the correct graph for the linear equation y = 2x - 3 . | |||
| Right Option : C | |||
| View Explanation | |||
The pair of equation x=a and y=b graphically represents lines which are | |||
| Right Option : D | |||
| View Explanation | |||
Students / Parents Reviews [10]
One of the best institutes to develope a child interest in studies.Provides SST and English knowledge also unlike other institutes. Teachers are co operative and friendly online tests andPPT develope practical knowledge also.
Aman Kumar Shrivastava
10thAbout Abhyas metholodology the teachers are very nice and hardworking toward students.The Centre Head Mrs Anu Sethi is also a brilliant teacher.Abhyas has taught me how to overcome problems and has always taken my doubts and suppoeted me.
Shreya Shrivastava
8thAbhyas Methodology is very good. It is based on according to student and each child manages accordingly to its properly. Methodology has improved the abilities of students to shine them in future.
Manish Kumar
10thIt was a good experience with Abhyas Academy. I even faced problems in starting but slowly and steadily overcomed. Especially reasoning classes helped me a lot.
Cheshta
10thMy experience with Abhyas academy is very good. I did not think that my every subject coming here will be so strong. The main thing is that the online tests had made me learn here more things.
Hiya Gupta
8thMy experience with Abhyas is very good. I have learnt many things here like vedic maths and reasoning also. Teachers here first take our doubts and then there are assignments to verify our weak points.
Shivam Rana
7thMy experience was very good with Abhyas academy. I am studying here from 6th class and I am satisfied by its results in my life. I improved a lot here ahead of school syllabus.
Ayan Ghosh
8thI have spent a wonderful time in Abhyas academy. It has made my reasoning more apt, English more stronger and Maths an interesting subject for me. It has given me a habbit of self studying
Yatharthi Sharma
10thIt was good as the experience because as we had come here we had been improved in a such envirnment created here.Extra is taught which is beneficial for future.
Eshan Arora
8thAbhyas is a complete education Institute. Here extreme care is taken by teacher with the help of regular exam. Extra classes also conducted by the institute, if the student is weak.
