# Graphing Lines

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 Original Sim and Translations

### Isi

• 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!

### Contoh Tujuan Pengajaran

• 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

 Panduan Bagi Guru (pdf) memuat petunjuk / tip yang dibuat oleh Tim PhET. ( PDF ).

### Teacher-Submitted Activities

Games Remote Lesson ideas Trish Loeblein MS
UG-Intro
K-5
HS
Remote
HW
Mathematics
Physics
Chemistry
Slope-Intercept Lesson and Activity Sheet Amanda McGarry MS
HS
Guided
Remote
Mathematics
Slope and Speed (revised) Sarah Borenstein MS Lab Physics
Mathematics
Exploring Slope and Speed Sarah Borenstein and Trish Loeblein MS Lab
Guided
Mathematics
Physics
Point-Slope Lesson and Activity Sheet Amanda McGarry MS
HS
Guided Mathematics
Slope Lesson and Activity Sheet Amanda McGarry HS
MS
Guided Mathematics
Using Transformations to Graph in Slope-Intercept Form Dana Alderman HS
MS
Guided Mathematics
Similar Triangles and Slope Andrew Freeman MS Guided Mathematics
Exploring parallel and perpendicular lines David Schenck HS
MS
Lab
Guided
Mathematics
Linear Equations in Slope-Intercept and Point-Slope Form using “Graphing Lines PhET Simulation” Enhui Chu HS
MS
Lab
Guided
Discuss
Mathematics
Making Sense of Slope Jim Freund MS Guided Mathematics
Exploring Solving Systems of Linear Equations Mary Burr MS Discuss
Guided
Mathematics
Go the Distance! Mary Burr MS Discuss
Guided
Mathematics
How do PhET simulations fit in my middle school program? Sarah Borenstein MS Other Earth Science
Physics
Biology
Chemistry
Middle School Math Sim Alignment Amanda McGarry MS Other Mathematics
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) Diana López MS
HS
Other Mathematics
Physics
Chemistry
Biology
PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) Diana López UG-Intro
HS
Other Mathematics
Chemistry
Physics
PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) Diana López K-5
MS
Guided
Lab
Discuss
Demo
HW
Astronomy
Mathematics
Chemistry
Physics
Preguntas de razonamiento para todas las simulaciones HTML5 Diana López HS
MS
UG-Intro
K-5
HW
Discuss
Astronomy
Chemistry
Physics
Mathematics
MS and HS TEK to Sim Alignment Elyse Zimmer HS
MS
Other Biology
Chemistry
Physics
Physics Graphing and Introduction to Models Steve Banasiak HS Lab
HW
Physics
Mapping of PhET and IBDP Physics Jaya Ramchandani HS Other Physics
Equação e posição das retas Italândia Ferreira de Azevedo e Francisco Régis Vieira Alves HS Lab Mathematics
Estudo da Reta Thamires Silva Aquino de Souza e Francisco Silva Aquino de Souza HS Guided Mathematics
Gráficando Rectas, Gráficando Cuadráticas Andrés Gualberto Palomo Cuevas HS Remote
HW
Mathematics
Explorando sistemas de ecuaciones lineales Mary Burr y Jeffrey Bush, traducido al español por Diana López HS
MS
Guided Mathematics
Albanian All shqip Paraqitja grafike e drejtëzës
Arabic All العربية تمثيل الخطوط المستقيمة
Basque All Euskara Zuzenak marraztuz
Bosnian All Bosanski Crtanje pravih
Brazilian Portuguese All português (Brasil) Traçando Retas
Chinese - Simplified All 中文 (中国) 直线图形
Chinese - Traditional 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
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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
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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
Maori All Maori He Kauwhata Rārangi
Marathi All मराठी आलेखावर रेषा काढने
Mongolian All Монгол (Монгол) Шулууны График
Norwegian Bokmal All Norsk bokmål Tegne Linjer
Persian All فارسی رسم خطوط
Polish All polski Wykresy prostych
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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