Graph: Line parallel to the coordinate axes

Graph

Line parallel to the coordinate axes

• If a line is parallel to the X-axis, its distance from X axis is the same and it is represented as y = c .

• If a line is parallel to the Y-axis, its distance from Y axis is the same and it is represented as x = k. (Here c and k are constants)

Example 3.43

Draw the graph of x = 5

Solution:

 x=5 means that x-coordinate is always 5 for whatever value of y-coordinate. So we may give any value for y-coordinate and this is tabulated as follows.

x =5 is given (fixed)

Take any value for y (Why?)

Note

x =0 represents the Y axis

y =0 represents the X axis

Think

Which of the points (5, −10) (0, 5) (5, 20) lie on the straight line X = 5?

Solution:

All points on the line X = 5 will have X−coordinate as 5. Therefore, any point with X − coordinate as 5 will lie on X = 5 line. Hence the points (5, − 10) & (5,20) will lie on X = 5

The points are (5,−2) (5,−2) (5,0) (5,2) (5,3). Plot the points in the graph and join them. We get a straight line parallel to Y axis at a distance of 5 units from the Y axis.