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Illustrative Mathematics
Find the Change
This exercise is an opportunity for algebra learners to understand the connection between the slope of a line and points found on the line. Use similar triangles to explain why slope m is the same between any two points. Discuss with the...
Illustrative Mathematics
Proportional Relationships, Lines, and Linear Equations
The resource is a good introduction to what makes a proportional relationship between two lines. Discuss the similarities of both lines and the possibility of intersection. Use this opportunity to list other acceptable forms of each...
Curated OER
Do Two Points Always Determine a Linear Function II?
Learners analyze the difference between the slope intercept and standard forms of a line in this task. Given two general points using letters they explore linear functions and linear equations.
West Contra Costa Unified School District
Slope-Intercept Sort
What's so special about slope? Pupils first match cards with slope and y-intercept to graphs of linear equations. They continue the lesson by matching equations in slope-intercept form to the same graphs.
Illustrative Mathematics
Equations of Lines
The intent of this resource is to show algebra learners that there is a proportional relationship between two lines that have an intersecting point. As the coordinate x increases by a constant, the y coordinate also increases. It...
Illustrative Mathematics
Two Lines
Here is a resource that helps your algebra learners understand the connection between the graph of two lines, the equations of lines, and the solutions and intersecting points of lines. It would make a great assessment question, but can...
Curated OER
Linear Functions
Your learners will explore linear functions by analyzing a graph of the linear equations.Then learners analyze through calculating f(x+P) and g(x+p)
PBL Pathways
College Costs
Predict the year that college costs will double in your state using linear modeling. The first part of this two-part project based learning activity asks young mathematicians to use data from the College Board. They graph the data,...
Ms. Amber Nakamura's Mathematics Website
Algebra Project
What would your dream house look like? A cottage? A medieval castle? High schoolers enrolled in Algebra design the perfect house while using slopes to write equations for various aspects of the project.
Illustrative Mathematics
Slopes and Circles
An upper-level treatment of what is often presented as a basic concept (the right angle of an inscribed circle on the diameter), this activity really elevates the mathematical thought of the learner! Expected to develop formulas...
PBL Pathways
College Costs 2
What is the financial benefit for attending a community college for the first two years before transferring to a four-year college? The second part of the educational lesson asks young scholars to explore this question through data...
5280 Math
Triangle Area Patterns
Combine algebraic and geometric strategies to find solutions. The task asks learners to find the coordinates of a third vertex of a triangle to create a triangle with a specific area. The project is a set of seven problems that...
Curated OER
Equal Differences Over Equal Intervals 1
Learners explore linear functions concretely using tables of values in a cooperative task. The concept of the values of linear functions changing by equal differences over equal intervals of one is emphasized. Learners will discover...
Free Math Help
Free Math Help: Point Slope Form
The tutorial examines point-slope form. Learners investigate the method for graphing a linear equation on an x-y axis. Detailed examples and a message board to post additional questions are included.
Northeast Parallel Architectures Center, Syracuse University
Npac Reu Program: Point Slope Form
This Northeast Parallel Architectures Center of Syracuse University site contains a brief description of the point-slope form for equations along with the formula.
Washington State University
Washington State University: Slope Intercept, Point Slope Forms
Washington State University provides a lesson on finding the slope of an equation and putting the equation into the desired form. The site also contains informatinon concerning parallel and perpendicular lines.
Northeast Parallel Architectures Center, Syracuse University
Npac Reu Program: General Linear Equation
This site by the Northeast Parallel Architecture Center, Syracuse University, shows the different forms of linear equations for a line.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Equation of a Line
The tutorial explores how to find the equation of a line. Students learn about the concept through class notes, examples, and practice problems. Review exercises and a chapter quiz are included.
Purple Math
Purplemath: Straight Line Equations: Slope Intercept Form
Slope-intercept form of a line is shown in formulas and examples with this Purplemath lesson. There are examples of slope-intercept with the slope and a point and with two points. Includes interactive widgets for exploring concepts.
Texas Instruments
Texas Instruments: Linear Functions: Slope Intercept Form
Students learn to develop the equation of a line from its graph. They also learn to write the equation of a line from the slope and the y-intercept, a point and the slope, and two points. They also investigate slopes of lines that are...
Other
Git: What Is the Slope Intercept Form of a Line?
Not only does this site show what the slope-intercept form is, but it helps you find the slope and the intercept of a line. There is also additional information on parallel lines, parametric form, and the distance between two points.
Texas Instruments
Texas Instruments: Investigating Equations of Lines
In this activity, students explore the equations of lines written in the form: y = mx + b. They move points defining the lines, and view the related changes in the parameters of the equations.
Wyzant
Wyzant: Determining the Equation of a Line Passing Through Two Points
The resource consists of practice problems that examine how to determine the equation of a line passing through two points. Worksheet and answer sheets are included.
Curated OER
Linear Functions
This site contains a short tutorial on point-slope, slope-intercept, and general form of linear equations. The site has an interactive graph of lines showing how the graph of a line changes when values of the linear equation change.