# Graphing Lines

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Use this HTML code to display a screenshot with the words "Click to Run". Graphing Linear Equations Lines Slope PhET ten o soporte de e profesores como vostede.
 Original Sim and Translations

### Contidos

• Graphing Linear Equations
• Lines
• Slope

### Description

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

### Obxectivos de Aprendizaxe

• 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

 A guía de profesores (pdf) contén consellos creados polo equipo PhET. ( PDF ).

### Teacher-Submitted Activities

Games Remote Lesson ideas Trish Loeblein S.O.
U-Inicio
BAC
11
Deb
Remote
Física
Química
Matemáticas
Slope-Intercept Lesson and Activity Sheet Amanda McGarry S.O.
BAC
Guided
Remote
Matemáticas
Slope and Speed (revised) Sarah Borenstein S.O. Lab Física
Matemáticas
Exploring Slope and Speed Sarah Borenstein and Trish Loeblein S.O. Lab
Guided
Matemáticas
Física
Point-Slope Lesson and Activity Sheet Amanda McGarry BAC
S.O.
Guided Matemáticas
Slope Lesson and Activity Sheet Amanda McGarry S.O.
BAC
Guided Matemáticas
Using Transformations to Graph in Slope-Intercept Form Dana Alderman BAC
S.O.
Guided Matemáticas
Similar Triangles and Slope Andrew Freeman S.O. Guided Matemáticas
Exploring parallel and perpendicular lines David Schenck S.O.
BAC
Lab
Guided
Matemáticas
Linear Equations in Slope-Intercept and Point-Slope Form using “Graphing Lines PhET Simulation” Enhui Chu BAC
S.O.
Lab
Discuss
Guided
Matemáticas
Making Sense of Slope Jim Freund S.O. Guided Matemáticas
Exploring Solving Systems of Linear Equations Mary Burr S.O. Discuss
Guided
Matemáticas
Go the Distance! Mary Burr S.O. Guided
Discuss
Matemáticas
How do PhET simulations fit in my middle school program? Sarah Borenstein S.O. Outro Química
Física
Ciencias da Terra
Bioloxía
Middle School Math Sim Alignment Amanda McGarry S.O. Outro Matemáticas
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) Diana López S.O.
BAC
Outro Química
Matemáticas
Física
Bioloxía
PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) Diana López U-Inicio
BAC
Outro Física
Química
Matemáticas
PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) Diana López 11
S.O.
Lab
Demo
Guided
Deb
Discuss
Química
Física
Matemáticas
Astronomía
Preguntas de razonamiento para todas las simulaciones HTML5 Diana López BAC
S.O.
U-Inicio
11
U-Av
Discuss
Deb
Astronomía
Matemáticas
Química
Física
MS and HS TEK to Sim Alignment Elyse Zimmer S.O.
BAC
Outro Física
Bioloxía
Química
Physics Graphing and Introduction to Models Steve Banasiak BAC Lab
Deb
Física
Mapping of PhET and IBDP Physics Jaya Ramchandani BAC Outro Física
Equação e posição das retas Italândia Ferreira de Azevedo e Francisco Régis Vieira Alves BAC Lab Matemáticas
Estudo da Reta Thamires Silva Aquino de Souza e Francisco Silva Aquino de Souza BAC Guided Matemáticas
Gráficando Rectas, Gráficando Cuadráticas Andrés Gualberto Palomo Cuevas BAC Remote
Deb
Matemáticas
Explorando sistemas de ecuaciones lineales Mary Burr y Jeffrey Bush, traducido al español por Diana López BAC
S.O.
Guided Matemáticas
Albanian All shqip Paraqitja grafike e drejtëzës
Arabic All العربية تمثيل الخطوط المستقيمة
Basque All Euskara Zuzenak marraztuz
Bosnian 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
Danish All Dansk Tegning af rette linier
Dutch All Nederlands Rechten tekenen
Finnish All suomi Suorien piirtäminen
French All français Traceur de droites
Greek All Ελληνικά Γραφικές αναπαραστάσεις γραμμών
Hebrew All עברית ציר הגרפים
Hindi All हिंदी रेखाओं का आलेख
Hungarian All magyar Egyenesek ábrázolása
Irish All Gaeilge Línte graif
Italian All italiano Grafici lineari
Japanese All 日本語 一次関数のグラフ
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Maori All Maori He Kauwhata Rārangi
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Mongolian All Монгол (Монгол) Шулууны График
Norwegian Bokmål All Norsk bokmål Tegne Linjer
Persian All فارسی رسم خطوط
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
Spanish All español Graficando Rectas
Spanish (Mexico) All español (México) Graficando Rectas
Spanish (Peru) All español (Perú) Graficando Líneas
Spanish (Spain) All español (España) Representando rectas
Swahili All Swahili Mistari kwenye Graphu
Swedish All svenska Räta linjens ekvation 2
Tamil All Tamil வரைபிடும் கோடுகள்
Turkish All Türkçe Grafik Doğruları
Ukrainian All українська Графік лінійної функції
Vietnamese All Tiếng Việt Đồ thị Hàm tuyến tính

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• Bryce Gruneich
• Karina Hensberry
• Patricia Loeblein
• Amanda McGarry
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• Sharon Siman-Tov (graphic arts)
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