Exercise 4.1 Question no 1 2 answer | Class 9th |

Описание: Linear Equations in Two Variables, which is an algebraic equation of the form \(ax+by+c=0\). Key topics include understanding that such equations have infinitely many solutions, graphing them as a straight line, and analyzing special cases like lines parallel to the x and y-axes. The chapter builds on the concept of linear equations in one variable from earlier classes. Key concepts Definition: A linear equation in two variables is an equation that can be written in the form \(ax+by+c=0\), where \(a\), \(b\), and \(c\) are real numbers, and \(a\) and \(b\) are not both zero.Solutions: A linear equation in two variables has infinitely many solutions, which are ordered pairs of numbers \((x,y)\) that satisfy the equation.Graphical representation: The graph of every linear equation in two variables is a straight line. Every point on the line is a solution, and every solution is a point on the line.Special cases:The equation \(x=0\) represents the y-axis, and \(y=0\) represents the x-axis.The equation \(x=a\) is a straight line parallel to the y-axis.The equation \(y=a\) is a straight line parallel to the x-axis.The equation \(y=mx\) represents a line that passes through the origin.