The Standard Form for a linear equation in two variables, x and y, is usually given as : ax + by = c, where a, b and c are real numbers, and a and b are not both zero.
If we have a linear equation in slope-intercept form, y = m x + b
For example, 3x + 2y = 8 is a linear equation in two variables.
We get , 3y - 8x = 15,
So as we know, ax + by = c is the standard form, the final answer is -8x + 3y = 15
So, to convert from slope intercept form y = mx + b to standard form ax + by + c = 0, let m = a/b.
Then collect all terms on the left side of the equation and multiply by the denominator b to get rid of the fraction.
The slope is defined to be the change in y divided by the change in x. Thus, if we express the slope as m = y change/x change or , we will have met our first demand.
Converting from slope intercept form to standard form takes little more than basic arithmetic.
y-mx=(mx-mx)+b
y-mx=b
y-mx-b=b-b
y-mx-b=0
If m is an integer, then B will equal 1.
−Ax+By−Bb=0 −Ax+By−C=0What is the equation in standard form?
What is the standard form of the linear equation -3y + 2x - 5 = 0 ? | |||
Right Option : B | |||
View Explanation |
To draw the graph of 4x + 5y = 19 if x = 1 is taken then what will be the value of y ? | |||
Right Option : B | |||
View Explanation |
Which of the following is the standard form of linear equation in two variables ?
| |||
Right Option : D | |||
View Explanation |
It 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.
My 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.
About 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.
It has a great methodology. Students here can get analysis to their test quickly.We can learn easily through PPTs and the testing methods are good. We know that where we have to practice
Abhyas 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.
I 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
My 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.
It 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.
My 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.
Abhyas 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.