# Graphing Slope-Intercept

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### ناوه‌ڕۆک

• Slope-Intercept Form
• Graphing Linear Equations

### Description

Explore slope-intercept form of a line. Connect the slope and y-intercept to the equation of the line. Challenge yourself in the line game!

### Sample Learning Goals

• Graph a line given an equation in slope-intercept form.
• Write an equation in slope-intercept form given a graphed line.
• Predict how changing the values in a linear equation will affect the graphed line.
• Predict how changing the graphed line will affect the equation.

### Standards Alignment

#### Common Core - Math

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.
Version 1.1.9

### Teacher Tips

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

### Teacher-Submitted Activities

Games Remote Lesson ideas Trish Loeblein HS
MS
UG-Intro
K-5
Remote
HW
فیزیا
کیمیا
بیرکاری
Slope-Intercept Lesson and Activity Sheet Amanda McGarry MS
HS
Remote
Guided
بیرکاری
Exploring Solving Systems of Linear Equations Mary Burr MS Discuss
Guided
بیرکاری
Middle School Math Sim Alignment Amanda McGarry MS دیکه‌ بیرکاری
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) Diana López HS
MS
دیکه‌ ژیناسی
فیزیا
کیمیا
بیرکاری
PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) Diana López HS
UG-Intro
دیکه‌ بیرکاری
کیمیا
فیزیا
Graphing Slope Intercept Fernanda Saavedra MS Guided
تاقیگه‌
بیرکاری
GEOMETRIA ANALÍTICA ENVOLVENDO O ESTUDO DA RETA Cícera Fernandes; Francisco Regis Vieira Alves دیکه‌ تاقیگه‌ بیرکاری
PhET Lesson: Graphing Slope-Intercept Carolyn Felknor MS Guided بیرکاری
Graphing Systems of Equations Brock Atwood, Amanda Kurjak, Chelsea Tattershall MS Guided بیرکاری
Plano Cartesiano e Par Ordenado Eugeniano Brito Martins K-5 Discuss
تاقیگه‌
HW
بیرکاری
Inclinação e Intersecção Wagner Costa HS Guided
دیکه‌
Discuss
بیرکاری
Função do 1° grau Rosalide Carvalho de Sousa e Francisco Régis Vieira Alves HS دیکه‌ بیرکاری
Retas e seus conceitos Italândia Ferreira de Azevedo e Francisco Régis Vieira Alves HS تاقیگه‌ بیرکاری
Estudo de Pontos no plano Thamires Silva Aquino de Souza e Francisco Régis Vieira Alves MS Guided بیرکاری
Explorando sistemas de ecuaciones lineales Mary Burr y Jeffrey Bush, traducido al español por Diana López MS
HS
Guided بیرکاری
Albanian All shqip Paraqitja grafike e funksionit në trajtën eksplicite
Arabic All العربية تمثيل تقاطع الميل بيانياً
Basque All Euskara Maldaren adierazpen grafikoa
Bosnian All Bosanski Prava-nagib-odsječak
Brazilian Portuguese All português (Brasil) Inclinação e Intersecção
Chinese - Simplified All 中文 (中国) 绘图:斜率与截距
Chinese - Traditional All 中文 (台灣) Graphing Slope-Intercept_圖形的斜率與截距
Danish All Dansk Graftegning, hældning og skæring
Dutch All Nederlands Tekenen van helling-interval
French All français Représenter à partir de l'équation réduite
German All Deutsch Steigung und Achsenabschnitt
Greek All Ελληνικά Γραφική παράσταση ανάσχεσης κλίσης
Hindi All हिंदी आलेख :  ढाल -अंतःखंड
Hungarian All magyar Egyenes: meredekség-tengelymetszet
Italian All italiano Rappresentazione Pendenza-Intercetta
Japanese All 日本語 一次関数の傾きと切片
Kazakh All Kazakh Түзудің бұрыштық коэффициенттік теңдеуі
Korean All 한국어 그래프 기울기-절편
Latvian All Latviešu Taisnes vienādojuma attēlošana
Maori All Maori Te Rōnaki me te Pūtahi Kauwhata
Mongolian All Монгол (Монгол) Налуу-Хэрчимийн График
Polish All polski Proste: nachylenie, przecięcie z osią
Russian All русский Уравнение прямой с угловым коэффициентом
Serbian All Српски Права-нагиб-одсечак
Slovak All Slovenčina Smernica-Priesečník grafu
Spanish All español Graficando Rectas Pendiente-Intersección
Spanish (Mexico) All español (México) Graficando Rectas Pendiente-Intersección
Spanish (Peru) All español (Perú) Representación Intercepto-Pendiente
Swedish All svenska Räta linjens ekvation 1
Turkish All Türkçe Eğim-Kesişim Çizimi
Ukrainian All українська Лінійна функція. Кутовий коефіцієнт
Vietnamese All Tiếng Việt Đồ thị độ dốc - đoạn chắn
فارسی All فارسی نمودار شیب - تقاطع

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Design Team Third-party Libraries سوپاس بۆ
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• Bryce Gruneich
• Karina Hensberry
• Patricia Loeblein
• Kathy Perkins
• Sharon Siman-Tov (graphic arts)
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