Graphing Slope-Intercept

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Isi

• 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!

Contoh Tujuan Pengajaran

• 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

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

Teacher-Submitted Activities

Games Remote Lesson ideas Trish Loeblein UG-Intro
MS
HS
K-5
Remote
HW
Physics
Chemistry
Mathematics
Slope-Intercept Lesson and Activity Sheet Amanda McGarry MS
HS
Guided
Remote
Mathematics
Exploring Solving Systems of Linear Equations Mary Burr MS Discuss
Guided
Mathematics
Middle School Math Sim Alignment Amanda McGarry MS Other Mathematics
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) Diana López HS
MS
Other Physics
Chemistry
Mathematics
Biology
PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) Diana López UG-Intro
HS
Other Mathematics
Chemistry
Physics
Graphing Slope Intercept Fernanda Saavedra MS Guided
Lab
Mathematics
GEOMETRIA ANALÍTICA ENVOLVENDO O ESTUDO DA RETA Cícera Fernandes; Francisco Regis Vieira Alves Other Lab Mathematics
PhET Lesson: Graphing Slope-Intercept Carolyn Felknor MS Guided Mathematics
Graphing Systems of Equations Brock Atwood, Amanda Kurjak, Chelsea Tattershall MS Guided Mathematics
Plano Cartesiano e Par Ordenado Eugeniano Brito Martins K-5 Discuss
Lab
HW
Mathematics
Inclinação e Intersecção Wagner Costa HS Other
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Discuss
Mathematics
Função do 1° grau Rosalide Carvalho de Sousa e Francisco Régis Vieira Alves HS Other Mathematics
Retas e seus conceitos Italândia Ferreira de Azevedo e Francisco Régis Vieira Alves HS Lab Mathematics
Estudo de Pontos no plano Thamires Silva Aquino de Souza e Francisco Régis Vieira Alves MS Guided Mathematics
Explorando sistemas de ecuaciones lineales Mary Burr y Jeffrey Bush, traducido al español por Diana López HS
MS
Guided Mathematics
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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
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