Graphing Lines

Ev şêwekar hêj ji bo vî zimanê nehatiye wergerandin. Dîsa jî hun dikarin guhertoya bi Îngilîzî ya li jêr bixebitînin.

Graphing Lines Wêneya Dîmenê  Daxîne  Çalkirin
  • Graphing Linear Equations
  • Xêz
  • Slope
Java Logo Original Sim and Translations

Naverok

  • Graphing Linear Equations
  • Xêz
  • Slope

Description

Explore the world of lines. Investigate the relationships between linear equations, slope, and graphs of lines. Challenge yourself in the line game!

Mînakên Armancên Fêrbûnê

  • Explain how the slope of a graphed line can be computed.
  • Graph a line given an equation in either slope-intercept or point-slope form.
  • Write an equation in slope-intercept or point-slope form given a graphed line.
  • Predict how changing variables in a linear equation will affect the graphed line.

Standards Alignment

Common Core - Math

8.EE.B.5
Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. For example, compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed.
8.EE.B.6
Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.
8.EE.C.8a
Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously.
8.EE.C.8b
Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. For example, 3x + 2y = 5 and 3x + 2y = 6 have no solution because 3x + 2y cannot simultaneously be 5 and 6.
8.F.A.3
Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. For example, the function A = s2 giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1), (2,4) and (3,9), which are not on a straight line.
HSF-IF.C.7
Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.*
HSF-IF.C.7a
Graph linear and quadratic functions and show intercepts, maxima, and minima.
HSF-LE.A.1a
Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals.
Version 1.3.10

Teacher Tips

Di rêbera mamosteyan (pdf) de rêwazên aliyê koma PhET ve hatine afirandin hene. ( PDF ).

Video Primer

Please sign in to watch the video primer

Teacher-Submitted Activities

Games Remote Lesson ideas A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Trish Loeblein HS
K-5
MS
UG-Intro
Remote
ST
Bîrkarî
Kîmya
Fîzîk
Slope-Intercept Lesson and Activity Sheet A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Amanda McGarry HS
MS
Guided
Remote
Bîrkarî
Slope and Speed (revised) A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Sarah Borenstein MS Ez.geh Fîzîk
Bîrkarî
Exploring Slope and Speed A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Sarah Borenstein and Trish Loeblein MS Ez.geh
Guided
Bîrkarî
Fîzîk
Point-Slope Lesson and Activity Sheet A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Amanda McGarry HS
MS
Guided Bîrkarî
Slope Lesson and Activity Sheet A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Amanda McGarry MS
HS
Guided Bîrkarî
Using Transformations to Graph in Slope-Intercept Form A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Dana Alderman HS
MS
Guided Bîrkarî
Similar Triangles and Slope A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Andrew Freeman MS Guided Bîrkarî
Exploring parallel and perpendicular lines A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. David Schenck HS
MS
Ez.geh
Guided
Bîrkarî
Linear Equations in Slope-Intercept and Point-Slope Form using “Graphing Lines PhET Simulation” A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Enhui Chu HS
MS
Guided
Ez.geh
Discuss
Bîrkarî
Making Sense of Slope A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Jim Freund MS Guided Bîrkarî
Exploring Solving Systems of Linear Equations A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Mary Burr MS Guided
Discuss
Bîrkarî
Go the Distance! A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Mary Burr MS Guided
Discuss
Bîrkarî
How do PhET simulations fit in my middle school program? This contribution was designed by PhET. Sarah Borenstein MS Yên din Fîzîk
Erdzanî
Zindîwerzanî
Kîmya
Middle School Math Sim Alignment This contribution was designed by PhET. Amanda McGarry MS Yên din Bîrkarî
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) This contribution was designed by PhET. Diana López MS
HS
Yên din Bîrkarî
Kîmya
Fîzîk
Zindîwerzanî
PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) This contribution was designed by PhET. Diana López HS
UG-Intro
Yên din Fîzîk
Kîmya
Bîrkarî
PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) This contribution was designed by PhET. Diana López K-5
MS
Ez.geh
ST
Discuss
PKêş
Guided
Fîzîk
Fezazanî
Kîmya
Bîrkarî
Preguntas de razonamiento para todas las simulaciones HTML5 This contribution was designed by PhET. Diana López K-5
HS
Grad
UG-Intro
MS
UG-Adv
Discuss
ST
Kîmya
Fîzîk
Fezazanî
Bîrkarî
MS and HS TEK to Sim Alignment Elyse Zimmer MS
HS
Yên din Zindîwerzanî
Fîzîk
Kîmya
Physics Graphing and Introduction to Models Steve Banasiak HS ST
Ez.geh
Fîzîk
Mapping of PhET and IBDP Physics Jaya Ramchandani HS Yên din Fîzîk
Equação e posição das retas Italândia Ferreira de Azevedo e Francisco Régis Vieira Alves HS Ez.geh Bîrkarî
Estudo da Reta Thamires Silva Aquino de Souza e Francisco Silva Aquino de Souza HS Guided Bîrkarî
Gráficando Rectas, Gráficando Cuadráticas Andrés Gualberto Palomo Cuevas HS ST
Remote
Bîrkarî
Explorando sistemas de ecuaciones lineales Mary Burr y Jeffrey Bush, traducido al español por Diana López MS
HS
Guided Bîrkarî

Ziman Download or Run Tips
Albanian All shqip Download Run now Paraqitja grafike e drejtëzës
Baskî All Euskara Download Run now Zuzenak marraztuz
Bosnî All Bosanski Download Run now Crtanje pravih
Chinese (China) All 中文 (中国) Download Run now 直线图形
Chinese (Taiwan) All 中文 (台灣) Download Run now Graphing Lines_描繪所有直線
Danî All Dansk Download Run now Tegning af rette linier
Dutch All Nederlands Download Run now Rechten tekenen
Erebî All العربية Download Run now تمثيل الخطوط المستقيمة
Farisî All فارسی Download Run now رسم خطوط
Finnish All suomi Download Run now Suorien piirtäminen
Frensî All français Download Run now Traceur de droites
Germenî All Deutsch Download Run now Geraden ziehen
Grekî All Ελληνικά Download Run now Γραφικές αναπαραστάσεις γραμμών
Hebrew All עברית Download Run now ציר הגרפים
Hindî All हिंदी Download Run now रेखाओं का आलेख 
Irish All Gaeilge Download Run now Línte graif
Îspanî All español Download Run now Graficando Rectas
Îspanî (Îspanya) All español (España) Download Run now Representando rectas
Îspanî (Meksîko) All español (México) Download Run now Graficando Rectas
Îspanî (Peru) All español (Perú) Download Run now Graficando Líneas
Italî All italiano Download Run now Grafici lineari
Japanese All 日本語 Download Run now 一次関数のグラフ
Kazakh All Kazakh Download Run now Түзудің теңдеуі
Korean All 한국어 Download Run now 그래프에 선 그리기
Latvian All Latviešu Download Run now Taišņu zīmēšana
Macarkî All magyar Download Run now Egyenesek ábrázolása
Maori All Maori Download Run now He Kauwhata Rārangi
Marathi All मराठी Download Run now आलेखावर रेषा काढने
Mongolian All Монгол (Монгол) Download Run now Шулууны График
Norwegian Bokmål All Norsk bokmål Download Run now Tegne Linjer
Polish All polski Download Run now Wykresy prostych
Portuguese (Brazil) All português (Brasil) Download Run now Traçando Retas
Russian All русский Download Run now Уравнение прямой 
Serbian All Српски Download Run now Цртање правих
Sinhalese All Sinhalese Download Run now සරල රේඛීය ප්‍රස්තාර
Slovak All Slovenčina Download Run now Grafy lineárnej funkcie
Slovenian All Slovenščina Download Run now Načrtovanje premic
Swahili All Swahili Download Run now Mistari kwenye Graphu
Swedish All svenska Download Run now Räta linjens ekvation 2
Tamil All Tamil Download Run now வரைபிடும் கோடுகள்
Tirkî All Türkçe Download Run now Grafik Doğruları
Ukrainian All українська Download Run now Графік лінійної функції
Vietnamese All Tiếng Việt Download Run now Đồ thị Hàm tuyến tính

HTML5 sims can run on iPads and Chromebooks, as well as PC, Mac, and Linux systems.

iPad:
iOS 12+ Safari
iPad compatible sims

Android:
Not officially supported. If you are using the HTML5 sims on Android, we recommend using the latest version of Google Chrome.

Chromebook:
Latest version of Google Chrome
The HTML5 and Flash PhET sims are supported on all Chromebooks.
Chromebook compatible sims

Windows Systems:
Microsoft Edge, latest version of Firefox, latest version of Google Chrome.

Macintosh Systems:
macOS 10.13+, Safari 13+, latest version of Chrome.

Linux Systems:
Not officially supported. Please contact phethelp@colorado.edu with troubleshooting issues.

Koma Pêşnûmakeriyê Danegehên Kesê-sêyemîn Spas Ji Bo
  • Ariel Paul (lead)
  • Chris Malley (developer)
  • Bryce Gruneich
  • Karina Hensberry
  • Patricia Loeblein
  • Amanda McGarry
  • Kathy Perkins
  • Sharon Siman-Tov (graphic arts)
  • almond-0.2.9.js
  • base64-js-1.2.0.js
  • FileSaver-b8054a2.js
  • font-awesome-4.5.0
  • game-up-camera-1.0.0.js
  • he-1.1.1.js
  • himalaya-0.2.7.js
  • jama-1.0.2
  • jquery-2.1.0.js
  • lodash-4.17.4.js
  • pegjs-0.7.0.js
  • seedrandom-2.4.2.js
  • text-2.0.12.js
  • TextEncoderLite-3c9f6f0.js