•  
agra,ahmedabad,ajmer,akola,aligarh,ambala,amravati,amritsar,aurangabad,ayodhya,bangalore,bareilly,bathinda,bhagalpur,bhilai,bhiwani,bhopal,bhubaneswar,bikaner,bilaspur,bokaro,chandigarh,chennai,coimbatore,cuttack,dehradun,delhi ncr,dhanbad,dibrugarh,durgapur,faridabad,ferozpur,gandhinagar,gaya,ghaziabad,goa,gorakhpur,greater noida,gurugram,guwahati,gwalior,haldwani,haridwar,hisar,hyderabad,indore,jabalpur,jaipur,jalandhar,jammu,jamshedpur,jhansi,jodhpur,jorhat,kaithal,kanpur,karimnagar,karnal,kashipur,khammam,kharagpur,kochi,kolhapur,kolkata,kota,kottayam,kozhikode,kurnool,kurukshetra,latur,lucknow,ludhiana,madurai,mangaluru,mathura,meerut,moradabad,mumbai,muzaffarpur,mysore,nagpur,nanded,narnaul,nashik,nellore,noida,palwal,panchkula,panipat,pathankot,patiala,patna,prayagraj,puducherry,pune,raipur,rajahmundry,ranchi,rewa,rewari,rohtak,rudrapur,saharanpur,salem,secunderabad,silchar,siliguri,sirsa,solapur,sri-ganganagar,srinagar,surat,thrissur,tinsukia,tiruchirapalli,tirupati,trivandrum,udaipur,udhampur,ujjain,vadodara,vapi,varanasi,vellore,vijayawada,visakhapatnam,warangal,yamuna-nagar
Vertical Line

Vertical Line: Meaning, Properties, Vertical Lines and Horizontal Lines Difference

A coordinate plane or the cartesian plane consists of tiny squares. Every point on this plane indicates a coordinate which is represented by the values of x and y-axis. The x-axis indicates the horizontal position, while the y-axis indicates the vertical position of any point in the cartesian plane.

Mathematicians have worked tirelessly to help us understand, chart, and quantify the world around us. Understanding how to map their surroundings was one of the first difficulties that humans encountered when it came to organizing the area around them. René Descartes, a French mathematician, invented the Cartesian coordinate system and the Cartesian plane while attempting to address the issue of expressing the position of a point on a plane. When attempting to plot a point on a flat surface, two axes are drawn on the plane: vertical (y-axis) and horizontal (x-axis) lines. The vertical line is the line parallel to the y-axis.

A vertical line can be carved or made from top to bottom or bottom to top. This line's points will all have the same x-coordinate. For example, if a point on a vertical line is mapped onto a coordinate (Cartesian) plane, it can be represented as (3,5), (5,5), or (-11,5) depending on where it is on the y-axis. Thus, for a vertical line, the x-axis remains the same everywhere, only the y axis changes.

Difference between Vertical Lines and Horizontal Lines

A vertical line is parallel to the y axis of the cartesian plane and travels from north to south or top to bottom, whereas a horizontal line is parallel to the x-axis of the cartesian plane and travels from right to left or east to west. Both horizontal and vertical lines are perpendicular to each other, and the intersection of these lines forms different regular shapes like the square, rectangle, rhombus, etc. Both vertical and horizontal lines are really important to measure the parameters like length, volume, area, density and distance.

This basic notion paved the way for creating the Geographic coordinate system, which allows us to share any place on the Earth using vertical longitude and horizontal latitude.

Properties:

The following qualities aid in the identification and comprehension of vertical lines:

  • A vertical line runs straight up and down, parallel to the coordinate plane's y-axis.
  • A vertical line has no slope or has a slope that is indeterminate.
  • In mathematics, we use a vertical line to determine if the relationship is a function. It is a function if all vertical lines cross it at least once. This is sometimes referred to as a vertical line test.

The formula or the equation of a vertical line is straightforward and basic. It only involves a variable whose value changes over the y axis. As discussed earlier, the value of the x-axis remains constant in the case of a vertical line. The formula is expressed as:

y = k, where y is the x coordinate of any point on the line, and ‘k’ is where the line crosses the x-axis.

Aakashians JEE Topper

Aakashians NEET UG 2023 Champions Again

Historic Results 2023 Aakashians Qualified +1 Lakh

JEE Advanced 2023

JEE Advanced 2023 Stats

JEE Advanced 2022 Topper

NEET Related Links

NEET Exam 2024

NEET 2024 Exam Dates

NEET 2024 Exam pattern

NEET 2024 Syllabus

NEET 2024 Eligibility Criteria

NEET 2024 Application

NEET UG Counselling

NEET FAQ

NEET UG Result

NEET 2024 Cut Off

Neet 2023 Toppers List Names & Rank

Neet Result 2023 Toppers list rank cut off

Neet Answer key Live Download PDF

Neet 2023 State Toppers List

JEE MAIN Related Links

JEE Main 2024

JEE Main Rank Predictor 2024

JEE Main College Predictor 2024

JEE Main 2024 Exam Dates

JEE Main 2024 Exam pattern

JEE Main 2024 Application

JEE Main 2024 Eligibility Criteria

JEE Main 2024 Syllabus

JEE Main 2024 Physics Syllabus

JEE Main 2024 Maths Syllabus

JEE Main 2024 Chemistry Syllabus

JEE Main 2024 Admit Card

JEE Main 2024 Counselling

JEE Main marks vs rank vs percentile

JEE Advanced Result 2023 live topper list

JEE Exam Preparation - How to calculate your rank jee

JEE Maths Syllabus - Important topics and weightage

JEE Advanced Related Links

JEE Advanced 2024 Exam Dates

JEE Advanced 2024 Application

JEE Advanced 2024 Eligibility Criteria

JEE Advanced 2024 Syllabus

JEE Advanced 2024 Maths Syllabus

JEE Advanced 2024 Physics Syllabus

JEE Advanced 2024 Chemistry Syllabus

JEE Advanced Exam Result

JEE Advanced Exam Dates

JEE Advanced Registration Dates

CUET Related Links

CUET 2024 Eligibility Criteria

CUET 2024 Admit Card

CUET 2024 Exam Pattern

CUET 2024 FAQs

CUET 2024 Counselling

CUET 2024 Syllabus

CUET 2024 Result

CUET 2024 Answer Key

CUET 2024 Preparation

CUET CUTOFF

CUET 2024 Application Form

Talk to our expert
Resend OTP Timer =
By submitting up, I agree to receive all the Whatsapp communication on my registered number and Aakash terms and conditions and privacy policy