Linear equations in two variables


   
 
Graph of Linear Equation in one variable
 
ax + b = 0 is a linear equation in one variable.
 
Consider the equation 2x + 4 = 0
 
2x = -4
 
 
x = -2
 
Since this equation is independent of y, for all values of y, x = -2
 
Hence x = -2 is a line parallel to the y-axis at x = -2.
 
 
Consider the equation y - 5 = 0
 
y - 5 = 0
 
y = 5
 
Since this equation is independent of x, for all values of x, y = 5.
 
Hence the graph of y = 5 is a line parallel to the x-axis at y = 5.
 
 
Note:
 
The graph of x = a is a line parallel to y-axis at x=a. The graph of y=b is a line parallel to x-axis at y = b.
 
 
     
   
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