It becomes easier for us to describe graphically the Linear Equations that comprise of just one variable as calculations are reduced as compared to two variable equations. In these sorts of equations we would see that graphs represent a straight line that will be either perpendicular to x – axis or y – axis. That means line will be either a horizontal or vertical. Intersection Point will be found on any of the two axes and the remaining axis stays parallel to the line with no Intersection point. Let us see how to graph a linear equation with one variable.
For this we must know how the linear equations in one variable would look like: For instance, we have an equation x = 4. This equation represents a line passing through the point x = 4 on the x –axis and is parallel to the y – axis. Analysis of the graph says that for each and every value of 'y' we would get x = 4 (both above and below the x - axis) as the value i.e. for y = -2, -1, 0, 2, 2, 3, 4, 5 and so on the coordinates will be (-2, 4), (-1, 4), (0, 4), (1, 4), (2, 4), (3, 4), (0, 4), (5, 4). This line extends to infinity in both direction parallel to y – axis. Similarly, we can have a line that intersects the y – axis and is parallel to the x – axis i.e. y = 5. The same thing will be repeated for the values of 'x' i.e. for any arbitrary value of 'x' we would get y = 5 only (both towards right and left of the y – axis). Let us see Graphical representation of two examples x = 4 and y = 5 as follows: