EQUATION OF A LINE PARALLEL TO X AXIS

To understand the equation of a line which is parallel to x axis, let us consider the figure given below. 

In the figure above, clearly the line L is parallel to x-axis and passing through  (0, k) on y- axis.  

So, the equation of a line parallel to x axis is

y  =  k

Note :

If the line is passing through some other value on y axis, we have to replace "k" by that value. 

Apart from the equation of a line which is parallel to x axis, let us look at some other different forms of equation of straight line. 

The different forms of equation of straight line are,

(i)  Slope intercept form

(ii)  Point slope form

(iii)  Two point form

(iv)  Intercept form

Let us look at the above different forms of equation of straight line in detail. 

Slope Intercept Form

y = mx + b

Here,

Slope of the line  =  m

y-intercept  =  b

Point Slope Form

Here,

Slope of the line  =  m 

Point  =  (x1, y1)

Two Points Form

Here, the two points are

(x1, y1) and (x2y2)

Intercept Form

Here,

x- intercept  =  a

y- intercept  =  b

Apart from the above forms of equation of straight line, there are some other ways to get equation of a straight line. 

1. If a straight line is passing through a point (c, 0) on x-axis and parallel to y-axis, then  the equation of the straight line is

x  =  c

2. Equation of x-axis is  y  =  0.

(Because, the value of "y" in all the points  on x-axis is zero)

3. Equation of y-axis is  x  =  0.

(Because, the value of "x" in all the points  on y-axis is zero)

4. General equation of a straight line is

ax + by + c  =  0 

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