# Graphing Lines

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

 Daxîne Çalkirin bigire Jibergirtiyekî çalak ya vê şêwekarê çal bikin Ji bo çalkirina jibergirtiyekî çalak ya vê şêwekarê vê qoda HTML bikar bînin. Hun dikarin firehî û bilindahiya şêwekarê bi guherandina nirxên "width" û "height" yên di HTML de biguherînin. Wêneyekî çalbikin ku bi tikandinê şêwekar bixebite
Bixebitîne
Ji bo nîşandana peyva "Bixebitîne" vê qoda HTML bikar bînin. Graphing Linear Equations Xêz Slope PhET tê piştgirîdan aliyê û mamosteyên mîna we.
 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 ).

### Teacher-Submitted Activities

Games Remote Lesson ideas Trish Loeblein HS
K-5
MS
UG-Intro
Remote
ST
Bîrkarî
Kîmya
Fîzîk
Slope-Intercept Lesson and Activity Sheet Amanda McGarry HS
MS
Guided
Remote
Bîrkarî
Slope and Speed (revised) Sarah Borenstein MS Ez.geh Fîzîk
Bîrkarî
Exploring Slope and Speed Sarah Borenstein and Trish Loeblein MS Ez.geh
Guided
Bîrkarî
Fîzîk
Point-Slope Lesson and Activity Sheet Amanda McGarry HS
MS
Guided Bîrkarî
Slope Lesson and Activity Sheet Amanda McGarry MS
HS
Guided Bîrkarî
Using Transformations to Graph in Slope-Intercept Form Dana Alderman HS
MS
Guided Bîrkarî
Similar Triangles and Slope Andrew Freeman MS Guided Bîrkarî
Exploring parallel and perpendicular lines David Schenck HS
MS
Ez.geh
Guided
Bîrkarî
Linear Equations in Slope-Intercept and Point-Slope Form using “Graphing Lines PhET Simulation” Enhui Chu HS
MS
Guided
Ez.geh
Discuss
Bîrkarî
Making Sense of Slope Jim Freund MS Guided Bîrkarî
Exploring Solving Systems of Linear Equations Mary Burr MS Guided
Discuss
Bîrkarî
Go the Distance! Mary Burr MS Guided
Discuss
Bîrkarî
How do PhET simulations fit in my middle school program? Sarah Borenstein MS Yên din Fîzîk
Erdzanî
Zindîwerzanî
Kîmya
Middle School Math Sim Alignment Amanda McGarry MS Yên din Bîrkarî
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) Diana López MS
HS
Yên din Bîrkarî
Kîmya
Fîzîk
Zindîwerzanî
PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) Diana López HS
UG-Intro
Yên din Fîzîk
Kîmya
Bîrkarî
PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) Diana López K-5
MS
Ez.geh
ST
Discuss
PKêş
Guided
Fîzîk
Fezazanî
Kîmya
Bîrkarî
Preguntas de razonamiento para todas las simulaciones HTML5 Diana López K-5
HS
UG-Intro
MS
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
Albanian All shqip Paraqitja grafike e drejtëzës
Bosnî All Bosanski Crtanje pravih
Chinese (China) All 中文 (中国) 直线图形
Chinese (Taiwan) All 中文 (台灣) Graphing Lines_描繪所有直線
Danî All Dansk Tegning af rette linier
Dutch All Nederlands Rechten tekenen
Erebî All العربية تمثيل الخطوط المستقيمة
Farisî All فارسی رسم خطوط
Finnish All suomi Suorien piirtäminen
Frensî All français Traceur de droites
Grekî All Ελληνικά Γραφικές αναπαραστάσεις γραμμών
Hebrew All עברית ציר הגרפים
Hindî All हिंदी रेखाओं का आलेख
Irish All Gaeilge Línte graif
Îspanî All español Graficando Rectas
Îspanî (Îspanya) All español (España) Representando rectas
Îspanî (Meksîko) All español (México) Graficando Rectas
Îspanî (Peru) All español (Perú) Graficando Líneas
Italî All italiano Grafici lineari
Japanese All 日本語 一次関数のグラフ
Kazakh All Kazakh Түзудің теңдеуі
Korean All 한국어 그래프에 선 그리기
Latvian All Latviešu Taišņu zīmēšana
Macarkî All magyar Egyenesek ábrázolása
Maori All Maori He Kauwhata Rārangi
Marathi All मराठी आलेखावर रेषा काढने
Mongolian All Монгол (Монгол) Шулууны График
Norwegian Bokmål All Norsk bokmål Tegne Linjer
Polish All polski Wykresy prostych
Portuguese (Brazil) All português (Brasil) Traçando Retas
Russian All русский Уравнение прямой
Serbian All Српски Цртање правих
Sinhalese All Sinhalese සරල රේඛීය ප්‍රස්තාර
Slovak All Slovenčina Grafy lineárnej funkcie
Slovenian All Slovenščina Načrtovanje premic
Swahili All Swahili Mistari kwenye Graphu
Swedish All svenska Räta linjens ekvation 2
Tamil All Tamil வரைபிடும் கோடுகள்
Tirkî All Türkçe Grafik Doğruları
Ukrainian All українська Графік лінійної функції
Vietnamese All Tiếng Việt Đồ thị Hàm tuyến tính

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

iOS 12+ Safari

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

Chromebook:
The HTML5 and Flash PhET sims are supported on all Chromebooks.
Chromebook compatible sims

Windows Systems:

Macintosh Systems:

Linux Systems:

Koma Pêşnûmakeriyê Danegehên Kesê-sêyemîn Spas Ji Bo
• Chris Malley (developer)
• Bryce Gruneich
• Karina Hensberry
• Patricia Loeblein
• Amanda McGarry
• Kathy Perkins
• Sharon Siman-Tov (graphic arts)
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• base64-js-1.2.0.js
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