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Illustrative Mathematics

Equations of Lines

For Teachers 7th - 9th Standards
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...
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Worksheet 7 - Asymptote

For Teachers Higher Ed
In this asymptote worksheet, students compute limits, graph vertical asymptotes, and find the slope of the secant line. This one-page worksheet contains six multi-step worksheets.
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Linear Equations

For Students 11th
In this Algebra II activity, 11th graders write the equation of a line given a table, the slope and a point, or two points.  The three page activity contains eleven problems.  Answers are not provided. 
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Writing Linear Equations

For Students 6th - 8th
In this math worksheet, students write the equations in slope intercept form for the equations that are graphed. They also create equations using slope and intercepts.
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Topic 2.4 - Writing Linear Equations

For Students 7th - 9th
In this linear equation instructional activity, students solve 18 problems regarding slope-intercept, linear equations, parallel lines and perpendicular lines.
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Algebra: Linear Equations

For Teachers 6th - 8th
Learners draw graphs of linear equations using the slope intercept form. Upon completion of various problems, students record their answers on the board and explain the solutions to classmates. Learners take a test over the material...
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Introductory Algebra Chapter 7 Review

For Teachers 6th - 8th
In this math worksheet, students solve the problems based upon finding the slope of the linear equation lines. Each problem set has a detailed example.
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Introducing Linear Terminology

For Teachers 9th
Ninth graders graph linear equations and inequalities in two variables and then, they write equations of lines and find and use the slope and y-intercept of lines. They use linear equations to model real data and define to define the...
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Discovering the Linear Relationship between Celsius and Fahrenheit

For Teachers 6th - 8th
Students discover the linear relationship between degrees Farenheit and degrees Celsius. They manually compute the slope and y-intercept of the line passing through points. They convert Celsius to Fahrenheit degrees.
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Cartesian Coordinate System

For Teachers 7th - 9th
Students explore the Cartesian coordinate plane and plot points on the graph. They interpret coordinates for a point from the graph and give the ratio of rise over run for slope.
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Solving Systems by Graphing

For Students 9th
In this solving systems by graphing learning exercise, 9th graders solve and complete 5 different problems. First, they change each equation to graphing form. Then, students graph each line and find their point of intersection. In...
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Algebra II Test Sections 2.4

For Students 9th - 12th
In this algebra worksheet, students identify the slope of a line, solve algebraic equations with absolute value, and identify the domain and range of given functions.  This three-page worksheet contains 21 problems.
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Linear Functions

For Students 11th - 12th
In this linear function worksheet, learners write the equation of a line, identify the slope, distance and midpoints. This one-page worksheet contains seven problems. Answers are provided at the bottom of the page.
Worksheet
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Graphing Linear Equations

For Students 8th - 12th
In this linear equations worksheet, students graph 2 linear equations using x- and y- intercepts. Students then graph 2 additional equations using the slope and y-intercept method.
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Identifying slope from Equations

For Teachers 8th - 12th
Students find the slope of a line given a linear equation in slope-intercept form. They also find the slope of a line given a linear equation in standard form. Students finally graph the line to show it visually.
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Introduction to Slope

For Teachers 7th - 8th
Students distinguish between positive and negative slope. They calculate the slope of various lines. Students identify and generate perpendicular and parallel lines base on their slope.
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Slopes, Distances, and Map Keys

For Teachers 8th - 9th
Students explore Rise and Run. For this math lesson, students use Rise and Run to find given slopes, they will use the slopes to calculate distances from point to point on graph paper.
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Perpendicular Lines in the Coordinate Plane

For Teachers 10th - 11th
Students investigate the relationship between perpendicular and parallel lines on a coordinate plane. In this geometry lesson, students differentiate lines based on their slopes.
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Writing and Graphing Linear Equations on a Flat Surface

For Students 8th - 10th
In this linear equations worksheet, students write the equation of a line with given characteristics. They identify the slope of a line and the y-intercept. Explanations and examples are provided at the beginning of the worksheet. This...
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Linear and Exponential Functions

For Teachers 8th - 11th Standards
This comprehensive unit on linear and exponential functions provides numerous clearly-written worksheets. Topics include graphing linear equations, solving systems of equations algebraically and by graphing, identifying the domain and...
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Algebra 1, Unit 7, Lesson 8: Practice Finding the Equation of a Line

For Teachers 7th - 9th
Young scholars solve systems of linear equations by graphing. The introduction of the instructional activity asks students to work in pairs or small groups to graph a line when given two points. Young scholars graph 14 equations on the...
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Systems of Linear Equations

For Teachers 9th - 12th
Students use the calculator to represent a situation as a table, graph, and equation. They write systems of equations and find solutions to systems of equations. In addition, they explain and justify how they determined their solutions...
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EOC Review G

For Students 9th - 11th
In this end of course review, students factor expressions, interpret statistic problems, and identify the maximum and minimum of equations. This two-page worksheet contains 5 multi-step problems.
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Solving Using Linear Equations

For Teachers 7th
Seventh graders explore linear equations. They observe the relationship between linear equations an patterns. Students make decisions using information given in graphs to solve linear equations. They perform a toothpick activity to...

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