Draw the graph of the equations

 
            (i)x – k = 0
(ii) y – k = 0 where ‘k’ is constant

Asked by Topperlearning User | 28th Aug, 2017, 10:43: AM

Expert Answer:

The linear equation x – k = 0   can be written down as 
 
x + 0.y – k = 0
 
This has infinitely many solutions. In fact, the solutions are all of the form (k, h), where h is any real number
Also, we can check  that every point of the form (k, h) is a solution of this equation.
So, as an equation in two variables, x – k = 0 is represented by the line PQ in the this graph
 PQ line is parallel to the y axis
 
Similarly   y – k = 0 can be written down as
0.x + 1.y – k = 0
 
 
This equation also has infinitely many solutions. In fact, the solutions are all of the form (k, h), where h is any real number
Also, we can check  that every point of the form (k, h) is a solution of this equation.
So, as an equation in two variables, x – k = 0 is represented by the line PQ in the this graph
 
 
PQ line is  parallel to the x axis.

Answered by  | 28th Aug, 2017, 12:43: PM