Category : 9th Class
Linear Equations in Two Variables
Note: A solution is also called the ‘root’ of the equation.
(i) An equation of the form ax + by + c = 0, where a, b and c are real numbers, such that 'a' and 'b' are not both zero, is called a linear equation in two variables.
(ii) A linear equation in two variables has infinitely many solutions.
(iii) The graph of every linear equation in two variables is a straight line.
(iv) x = 0 is the equation of Y-axis.
(v) y = 0 is the equation of X-axis.
(vi) The graph of x = a is a straight line parallel to the Y-axis.
(vii) The graph of y = a is a straight line parallel to the X-axis.
(viii) An equation of the type y = mx represents ‘a line passing through the origin.
(ix) Every point on the graph of a linear equation in two variables is a solution of the linear equation. Conversely, every solution of the linear equation is a point on the graph of the linear equation.
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