EngageNY
Characteristics of Parallel Lines
Systems of parallel lines have no solution. Pupils work examples to discover that lines with the same slope and different y-intercepts are parallel. The 27th segment of 33 uses this discovery to develop a proof, and the class determines...
Curated OER
Easy Worksheet: Equations of Lines
The class solves 4 short answer problems. They write the equation of a line parallel to a given line passing through a point. Graph paper may be needed.
Curated OER
Gradients of Parallel Line Segments
In this gradient worksheet, students draw line segments and determine if they are parallel. They plot points on a coordinate plane and calculate the gradient of each created line. This five-page worksheet contains 8 multi-step problems....
Willow Tree
Parallel and Perpendicular Lines
Enhance your class's understanding of linear equations by extending their study to parallel and perpendicular lines. Young mathematicians learn the relationship between the slopes of parallel and perpendicular lines. They then use that...
Teach Engineering
Graphing Equations on the Cartesian Plane: Slope
Slopes are not just for skiing. Instructors introduce class members to the concept of slope and teach them how to calculate the slope from a graph or from points. The lesson also includes the discussion of slopes of parallel and...
Curated OER
Algebra I - Worksheet G12: Graphing Lines
In this graphing lines worksheet, students graph 28 lines given various data. Students graph lines given two points, a point and slope, and a line perpendicular or parallel to a point.
Curated OER
Other Equations of Lines
In this algebra worksheet, young scholars find equations for 4 lines when given their slope and one point on the line. They write two linear equations when given two points on a line. Students analyze the equations of 3 sets of linear...
EngageNY
Motion Along a Line – Search Robots Again
We can mathematically model the path of a robot. Learners use parametric equations to find the location of a robot at a given time. They compare the paths of multiple robots looking for parallel and perpendicular relationships and...
Curated OER
How to Find the Equations of Parallel Lines
In this parallel lines worksheet, students determine equations of parallel lines and graph parallel lines. Examples, explanations, and solutions are provided.
Curated OER
Review Linear Equations
Explore algebra I/algebra II with this series of worksheets. Pupils write linear equations in slope-intercept and standard form, graph linear equations, and apply linear equations to real world applications. The six-page worksheet...
University of Utah
Representations of a Line
Line up to learn about lines! Scholars discover how to express patterns as linear functions. The workbook then covers how to graph and write linear equations in slope-intercept form, as well as how to write equations of parallel and...
Curated OER
Parallel and Perpendicular Lines
Young geometers get some solid skills practice in evaluating slopes. Beginning with the basics of slope through two points and progressing through properties of parallel and perpendicular lines, the building of skills is gradual and...
Math Mammoth
Slope; Math Mammoth.com
For this math activity, learners find the slope of four lines when they are drawn on a coordinate grid. Students are given the slope and draw the line for two lines. They use the slope formula to find slope when given two points on a...
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
The Slope of Parallel and Perpendicular Lines
In this Algebra I/Algebra II worksheet, students examine slope to determine if the given lines are parallel or perpendicular. Students determine the equation of lines that are either parallel or perpendicular to the given line. The two...
Curated OER
Parallel and Perpendicular Lines
In this algebra/geometry activity, students investigate the slopes and equations of parallel and perpendicular lines. The two page activity contains a combination of eleven multiple choice and free response questions. Solutions are...
Curated OER
Slopes of Lines
In this slopes of lines worksheet, 10th graders solve and graph 10 different problems. First, they determine the slope of each line named in the figure and any line parallel to line b and perpendicular to line d. Then, students graph the...
Math Mammoth
Parallel and Perpendicular Lines
In this parallel and perpendicular line instructional activity, learners find equations of a line, then determine an equation of a line that is parallel or perpendicular to the original one. They graph problems and plot points. There are...
EngageNY
Nature of Solutions of a System of Linear Equations
If at first you cannot graph, substitute. The lesson introduces the substitution method as a way to solve linear systems if the point of intersection is hard to determine from a graph. The 28th installment of a 33-part series finishes...
Curated OER
Expressing Geometric Properties with Equations
Algebra and geometry are not interchangeable. Demonstrate why not with a series of problems that deal with the equations of circles and equations of lines that meet specific criteria.
Curated OER
Writing and Graphing Linear Equations on a Flat Surface
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...
Curated OER
Using Parallel Axes To Discover Mathematical Interconnections
In this math worksheet, young scholars graph the functions on parallel axes and observe the location of the slope point in relation to the x and y axes.
Curated OER
Graphing a Line Parallel to an Axis
In this Algebra I/Algebra II worksheet, students graph lines parallel to an axis. The one page worksheet contains one multiple choice question with the answer.
Curated OER
Parallels and Distance
In this parallels and distance worksheet, 10th graders solve 8 problems related to parallels of lines and the distance between each line. First, they draw the segment that represents the distance indicated in each figure. Then, students...