
How do you write into slope intercept form?
Answer
473.7k+ views
Hint: In any linear equation, m is the slope and b is the y-intercept and this equation is known as the slope-intercept equation. Here will find the y intercept value for the given equation and by converting it in the form of the standard equation,
Complete step-by-step solution:
Take the given equation:
Convert the above equation in the form of the
Therefore, make the given equation in the form of “y” on the left hand side of the equation. Take all the terms on the right hand side of the equation. When you move any term from one side to another, the sign of the term also changes. Positive term changes to the negative term and vice-versa.
The above equation can be re-written as:
The above equation is now in the form of the slope-intercept form.
Additional Information: Always remember that the slope of two perpendicular lines is always minus one whereas the slope of two parallel lines is equal and same. Parallel lines can be defined as the two lines which are in the same plane and are at equal distance from each other and they never intersect each other whereas the lines which intersect each other at ninety degree are known as the perpendicular lines.
Note: Always remember the standard form of the linear equation, slope and intercept equation as the y intercept depends on the standard equation. Also be careful about the sign convention of the linear equation. When you move any term from one side to another, the sign of the term also changes. Positive term becomes negative and negative term becomes positive.
Complete step-by-step solution:
Take the given equation:
Convert the above equation in the form of the
Therefore, make the given equation in the form of “y” on the left hand side of the equation. Take all the terms on the right hand side of the equation. When you move any term from one side to another, the sign of the term also changes. Positive term changes to the negative term and vice-versa.
The above equation can be re-written as:
The above equation is now in the form of the slope-intercept form.
Additional Information: Always remember that the slope of two perpendicular lines is always minus one whereas the slope of two parallel lines is equal and same. Parallel lines can be defined as the two lines which are in the same plane and are at equal distance from each other and they never intersect each other whereas the lines which intersect each other at ninety degree are known as the perpendicular lines.
Note: Always remember the standard form of the linear equation, slope and intercept equation as the y intercept depends on the standard equation. Also be careful about the sign convention of the linear equation. When you move any term from one side to another, the sign of the term also changes. Positive term becomes negative and negative term becomes positive.
Recently Updated Pages
Master Class 11 Physics: Engaging Questions & Answers for Success

Master Class 11 Chemistry: Engaging Questions & Answers for Success

Master Class 11 Biology: Engaging Questions & Answers for Success

Class 11 Question and Answer - Your Ultimate Solutions Guide

Master Class 11 Business Studies: Engaging Questions & Answers for Success

Master Class 11 Computer Science: Engaging Questions & Answers for Success

Trending doubts
Explain why it is said like that Mock drill is use class 11 social science CBSE

Which of the following blood vessels in the circulatory class 11 biology CBSE

1 ton equals to A 100 kg B 1000 kg C 10 kg D 10000 class 11 physics CBSE

One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE

Which of the following is nitrogenfixing algae a Nostoc class 11 biology CBSE

Difference Between Prokaryotic Cells and Eukaryotic Cells
