Problem 450. What is the distance from point P(x,y) to the line Ax + By + C = 0?

Created by Bruce Raine

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","targetMode":"","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","targetMode":"","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[],"contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n<w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Given a point, P(x,y), find the distance from this point to a linear line.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>INPUTS: x, y, A, B, C</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>OUTPUTS: d, the distance which of course should always be positive.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[EX:\n>>x=2; y=2; A=2; B=2; C=-4;\n>>d = normalLen(x,y,A,B,C)\nd = 1.4142]]></w:t></w:r></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"}]}

Solve

Solution Stats

725 Solutions
346 Solvers

Last Solution submitted on May 25, 2023

Last 200 Solutions

Problem Comments

2 Comments

2 Comments

Claudio Gelmi on 23 Jan 2013

There is a mistake with the solution of Test #3. Ans should be 7.40. Please check.

Nicolas Douillet on 29 Nov 2022

I confirm this error.

Solution Comments

Show comments

Problem Recent Solvers346

Problem Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 450. What is the distance from point P(x,y) to the line Ax + By + C = 0?

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers346

Suggested Problems

More from this Author16

Problem Tags

Community Treasure Hunt

Problem 450. What is the distance from point P(x,y) to the line Ax + By + C = 0?

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers346

Suggested Problems

More from this Author16

Problem Tags

Community Treasure Hunt

Players