Examples : Equation of a line

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

## Mathematics (Maths) Class 12

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.

## Mathematics (Maths) Class 12

204 videos|288 docs|139 tests

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