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Graph of a Linear Equation in 2 Variables - 2 Video Lecture | Mathematics (Maths) Class 9

FAQs on Graph of a Linear Equation in 2 Variables - 2 Video Lecture - Mathematics (Maths) Class 9

1. What is a linear equation in 2 variables?

Ans. A linear equation in 2 variables is an equation that represents a straight line on a graph. It can be written in the form ax + by = c, where a, b, and c are constants, and x and y are the variables.

2. How do you graph a linear equation in 2 variables?

Ans. To graph a linear equation in 2 variables, you need to find at least two points that satisfy the equation. You can do this by choosing any values for one variable and solving for the other. Plot these points on a coordinate plane and connect them with a straight line.

3. Can a linear equation in 2 variables have more than one solution?

Ans. Yes, a linear equation in 2 variables can have infinitely many solutions. This occurs when the equation represents a line. Any point on that line will satisfy the equation, so there are multiple solutions.

4. What does the slope of a linear equation in 2 variables represent?

Ans. The slope of a linear equation in 2 variables represents the rate of change between the two variables. It indicates how steep the line is and whether it is increasing or decreasing. A positive slope means the line is going up, while a negative slope means the line is going down.

5. How can I determine if two linear equations in 2 variables are parallel or perpendicular?

Ans. Two linear equations in 2 variables are parallel if they have the same slope. This means their lines will never intersect. On the other hand, two linear equations are perpendicular if the product of their slopes is -1. The lines will intersect at a right angle.

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Sep 10, 2025 Last updated

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