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

__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.

** **

Tags : Algebra | Chapter 3 | 8th Maths , 8th Maths : Chapter 3 : Algebra

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8th Maths : Chapter 3 : Algebra : Graph: Line parallel to the coordinate axes | Algebra | Chapter 3 | 8th Maths

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