TopLinear equations have a general form for their representation as: y = mx + c. Where, “m” is called as Slope of line i.e. to how much angle the line is inclined on the horizontal axis or x- axis. “c” is called as y – intercept made by line i.e. intersection Point of line on 'y' or vertical axis. Slope of linear equation can be increasing (y = 4x + 5), decreasing (y = -4x + 5) and constant (y = 7 or x = 4). So, it is simple to know how to graph y equal to 5 i.e. y = 5. Clearly it represents a linear equation with Slope equals to 0 or constant slope. Constant slope can hold two types of representations:
1. Parallel to y- axis and intersecting at some point on x- axis. Equations of type x = 6.
2. Parallel to x- axis and intersecting at some point on y- axis. Equations of type y = 6.
We all have been Graphing Linear Equations by converting them in their standard form. Here equation y = 5 is already in its standard form representing 'y' equals to 5 as y – intercept. So to graph such equations we need to keep slope of straight curve constant and passing through y = 5 because for every value of 'x' we will be get 'y' as 5.
This curve will be defined only in first and second quadrants. Domain of this function is defined for all values of 'x' i.e. (minus infinity, infinity) and range will include only one value of 'y' i.e. 5. Thus we get a horizontal line crossing y – axis at y = 5 and parallel to x – axis.