Graphs and Equations
Explore how to graph linear equations, find solutions to equations and inequalities, identify intercepts on a graph, model slope using geoboards, and find equations of lines using slope and intercepts or given points.
Plotting Points On a Rectangular Coordinate System
Verifying Solutions to An Equation in Two Variables
Completing a Table of Solutions to a Linear Equation in Two Variables
Finding Solutions to a Linear Equation
Key Concepts
Recognizing the Relationship Between the Solutions of An Equation and Its Graph
Graphing a Linear Equation By Plotting Points
Graphing Vertical and Horizontal Lines
Key Concepts
Identifying the <em>x</em>- and <em>y</em>- Intercepts On a Graph
Finding the <em>x</em>- and <em>y</em>- Intercepts From An Equation of a Line
Graphing a Line Using the Intercepts
Key Concepts
Using Geoboards to Model Slope
Using $m=\frac{\text{rise}}{\text{run}}$ to Find the Slope of a Line From Its Graph
Finding the Slope of Horizontal and Vertical Lines
Using the Slope Formula to Find the Slope of a Line Between Two Points
Graphing a Line Given a Point and the Slope
Solving Slope Applications
Key Concepts
Recognizing the Relation Between the Graph and the Slope–Intercept Form
Identifying the Slope and <em>y</em>-intercept From An Equation of a Line
Graphing a Line Using Its Slope and Intercept
Choosing the Most Convenient Method to Graph a Line
Graphing and Interpreting Applications of Slope–intercept
Using Slopes to Identify Parallel Lines
Using Slopes to Identify Perpendicular Lines
Key Concepts
Finding an Equation of the Line Given the Slope and <em>y</em>-intercept
Finding an Equation of the Line Given the Slope and a Point
Finding an Equation of the Line Given Two Points
Finding an Equation of a Line Parallel to a Given Line
Finding an Equation of a Line Perpendicular to a Given Line
Key Concepts
Verifying Solutions to An Inequality in Two Variables
Recognizing the Relation Between the Solutions of an Inequality and Its Graph
Graphing Linear Inequalities
Summarizing Graphs of Linear Inequalities