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

Last updated at April 16, 2024 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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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo