JEE Exam  >  JEE Videos  >  Mathematics (Maths) Class 12  >  Examples : Equation of a line

Examples : Equation of a line Video Lecture | Mathematics (Maths) Class 12 - JEE

204 videos|288 docs|139 tests

FAQs on Examples : Equation of a line Video Lecture - Mathematics (Maths) Class 12 - JEE

1. What is the equation of a line?
Ans. The equation of a line is a mathematical representation that relates the x and y coordinates of points on the line. It is typically written in the form y = mx + b, where m represents the slope of the line and b represents the y-intercept.
2. How do you find the slope of a line?
Ans. The slope of a line can be determined by calculating the ratio of the vertical change (change in y-coordinates) to the horizontal change (change in x-coordinates) between two points on the line. This can be expressed as the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are any two points on the line.
3. What is the significance of the y-intercept in the equation of a line?
Ans. The y-intercept in the equation of a line represents the point where the line intersects the y-axis. It indicates the value of y when x is equal to zero. In the equation y = mx + b, the value of b represents the y-intercept, and it helps determine the starting point of the line on the y-axis.
4. Can two lines have the same slope but different y-intercepts?
Ans. Yes, two lines can have the same slope but different y-intercepts. The slope only describes the steepness or slant of the line, while the y-intercept determines the vertical position of the line. Even if two lines have the same slope, they can still be shifted up or down along the y-axis, resulting in different y-intercepts.
5. How can I graph a line using its equation?
Ans. To graph a line using its equation, you can start by identifying the y-intercept from the equation. Plot this point on the y-axis. Then, use the slope of the line to find additional points. The slope tells you how much the line rises or falls as you move horizontally. From the y-intercept, you can move vertically and horizontally according to the slope to plot more points. Finally, connect all the plotted points to form the line.
204 videos|288 docs|139 tests

Up next

Explore Courses for JEE exam
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Related Searches

MCQs

,

shortcuts and tricks

,

Free

,

Semester Notes

,

Examples : Equation of a line Video Lecture | Mathematics (Maths) Class 12 - JEE

,

Extra Questions

,

Summary

,

Examples : Equation of a line Video Lecture | Mathematics (Maths) Class 12 - JEE

,

pdf

,

Previous Year Questions with Solutions

,

video lectures

,

Important questions

,

ppt

,

past year papers

,

Examples : Equation of a line Video Lecture | Mathematics (Maths) Class 12 - JEE

,

study material

,

Exam

,

practice quizzes

,

Objective type Questions

,

Viva Questions

,

mock tests for examination

,

Sample Paper

;