Graphing Lines

Graphing Lines Screenshot
  • Graphing Linear Equations
  • Lines
  • Slope
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Topics

  • 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!

Sample Learning Goals

  • 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.
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 1.00

Teacher Tips

Download teacher tips PDF Overview of sim controls, model simplifications, and insights into student thinking ( PDF ).

Teacher-Submitted Activities

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 MS
HS
Remote
Guided
Mathematics
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 MS
HS
Guided Mathematics
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 Mathematics
Similar Triangles and Slope A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Andrew Freeman MS Guided Mathematics
Making Sense of Slope A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Jim Freund MS Guided Mathematics
How do PhET simulations fit in my middle school program? This contribution was designed by PhET. Sarah Borenstein MS Other Physics
Biology
Earth Science
Chemistry
Mapping of PhET and IBDP Physics Jaya Ramchandani HS Other Physics
MS and HS TEK to Sim Alignment Elyse Zimmer MS
HS
Other Biology
Chemistry
Physics
PhET Simulations Aligned for AP Physics C Roberta Tanner HS Other Physics
Linear Relationships - 7th Grade ASC Weston Steinberg MS Demo
Guided
Mathematics
Introduction to Linear Relationships -7th Grade Weston Steinberg MS Guided Mathematics
NGSS Simulation Alignment/Correlation Matthew Huffine MS
HS
K-5
UG-Intro
Demo
Other
Other
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) This contribution was designed by PhET. Diana López HS
MS
Other Chemistry
Mathematics
Physics
Biology
PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) This contribution was designed by PhET. Diana López MS
K-5
Discuss
Lab
Guided
Demo
HW
Astronomy
Mathematics
Physics
Chemistry
1차 방정식의 그래프 SIM 사용지침서 이화국(Wha Kuk Lee) MS
HS
Demo
Lab
Astronomy
Mathematics
Earth Science
Chemistry
Physics
Biology
Coeficiente Angular e Equação Reduzida da Reta. José Gleison Alves da Silva e Francisco Régis Vieira Alves HS Other
Guided
Mathematics

Language Download or Run Tips
Amharic All Amharic Run now መስመር መሳል
Arabic All العربية Run now تمثيل المستقيمات
Basque All Euskara Run now Lerroak marraztuz
Bosnian All Bosanski Run now Crtanje pravih
Chinese (Simplified) All 中文 (中国) Run now 直线图形
Chinese (Traditional) All 中文 (台灣) Run now 描繪所有直線
Croatian All hrvatski Run now Crtanje pravaca
Czech All čeština Run now Kreslení přímky
Danish All Dansk Run now Tegning af rette linier
Dutch All Nederlands Run now Grafieken tekenen
French All français Run now Traceur de droites
German All Deutsch Run now Gerade anpassen
Greek All Ελληνικά Run now Γραφικές αναπαραστάσεις γραμμών
Hebrew All עברית Run now ציר הגרפים
Hungarian All magyar Run now Egyenesek ábrázolása
Indonesian All Bahasa Indonesia Run now Menggambar Garis
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Kazakh All Kazakh Run now Графикалық сызықтар
Korean All 한국어 Run now 그래프에 선 그리기
Norwegian Bokmal All Norsk bokmål Run now Grafisk framstilling av rette linjer
Norwegian Nynorsk All Norwegian Nynorsk Run now Grafisk framstilling av rette linjer
Persian All فارسی Run now رسم خطوط
Polish All polski Run now Wykresy prostych
Portuguese (Brazil) All português (Brasil) Run now Traçando Retas
Serbian All Српски Run now Цртање правих
Slovak All Slovenčina Run now Grafy lineárnej funkcie
Slovenian All Slovenščina Run now Načrtovanje premic
Spanish All español Run now Dibujando líneas
Spanish (Mexico) All español (México) Run now Dibujando líneas
Spanish (Peru) All español (Perú) Run now Graficando Líneas
Swedish All svenska Run now Räta linjens ekvation
Turkish All Türkçe Run now Doğrusal Denklem Grafikleri
Vietnamese All Tiếng Việt Run now Đồ thị Hàm tuyến tính

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Design Team Third-party Libraries Thanks To
  • Ariel Paul (lead)
  • Chris Malley (developer)
  • Bryce Gruneich
  • Karina Hensberry
  • Patricia Loeblein
  • Amanda McGarry
  • Kathy Perkins
  • Piccolo2D