Equation of line parallel to x-axis and y-axis

Last updated at August 13, 2026 by

Lines parallel to x-axis

Equation of x-axis is

y = 0

 

Equation of lines which are parallel to x-axis is

y = k

where k is a constant

 

Let us check an example

y = 2

 

Drawing y = 2 in graph

 

Since y = 2 for all values of x

Points which satisfy the equation is

x

0

1

2

–1

y

2

2

2

2

Plotting points on graph


Plotting points on graph.jpg

Hence, y = 2 is  line which is parallel to x axis

 

Lines parallel to y-axis

Equation of y-axis is

x = 0

Equation of lines which are parallel to y-axis is

x = k

where k is a constant

Let us check an example

x = 1

Drawing x = 1 in graph

Since x = 1 for all values of y

Points which satisfy the equation is

x

1

1

1

1

y

0

1

2

–1

Plotting points on graph

Equation of line parallel to x-axis and y-axis - Part 2

 

Hence, x = 1 is  line which is parallel to x axis

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