Equation of a straight line parallel to x axis — lesson. Mathematics State Board, Class 10.

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Consider drawing a line parallel to

$x$ - axis, which is at a distance of

$b$ units. Then, the

$y$ coordinate of every point on the straight line will be "

$b$ ".

Hence, the general equation of the line parallel to

$x$ - axis is

$y = b$ .

Example:

Consider plotting the points

$(-3,4)$ ,

$(-2,4)$ ,

$(-1,4)$ ,

$(0,4)$ ,

$(1,4)$ ,

$(2,4)$ ,

$(3,4)$ .

Now, draw a line joining these points. The line is at a distance of

$4$ units from the

$x$ - axis. Here,

$b = 4$ .

Therefore, the equation of the line parallel to the

$x$ axis is

$y = 4$ .

Important!

1. If

$b > 0$ , then the line

$y = b$ lies above the

$x$ - axis.

2. If

$b < 0$ , then the line

$y = b$ lies below the

$x$ - axis.

3. If

$b = 0$ , then the line

$y = b$ lies on the

$x$ - axis.

Did you find an error?

2. Equation of a straight line parallel to x axis