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Graph of a Linear Equation in 2 Variables - 1 Video Lecture | Crash Course: Class 9

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FAQs on Graph of a Linear Equation in 2 Variables - 1 Video Lecture - Crash Course: Class 9

1. What is a linear equation in 2 variables?
Ans. A linear equation in 2 variables is an equation that can be written in the form ax + by = c, where a, b, and c are constants and a and b are not both zero. It represents a straight line on a coordinate plane.
2. How can I graph a linear equation in 2 variables?
Ans. To graph a linear equation in 2 variables, start by choosing a few values for one variable and then calculate the corresponding values for the other variable using the equation. Plot these points on a coordinate plane and connect them to form a straight line. The line represents the graph of the equation.
3. What does the slope of a linear equation represent?
Ans. The slope of a linear equation represents the rate of change of the dependent variable with respect to the independent variable. It indicates how steep or flat the line is. A positive slope indicates an increasing relationship, while a negative slope indicates a decreasing relationship.
4. How can I determine the slope of a linear equation?
Ans. The slope of a linear equation can be determined by comparing the coefficients of the variables. In the standard form ax + by = c, the slope is given by -a/b. If the equation is in slope-intercept form y = mx + b, then the slope is simply the coefficient of x, m.
5. Can a linear equation in 2 variables have more than one solution?
Ans. No, a linear equation in 2 variables can have at most one solution. The graph of the equation represents all the possible solutions, and if the graph is a straight line, it can intersect the coordinate plane at most once. If the line is parallel to the x-axis or y-axis, it means there is no solution.
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Graph of a Linear Equation in 2 Variables - 1 Video Lecture | Crash Course: Class 9

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