Illustrative Mathematics
The Intersection of Two Lines
Here is an introduction to solving simultaneous linear equations. Start by drawing a line through two points. Create a second line which goes through the intersecting point. Background knowledge of how to find the equation of a line and...
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...
College Preparatory Mathematics
Using Elimination To Find the Point of Intersection of Two Lines
Two example problems are solved on the first page using the elimination method with a pair of linear equations. Detailed explanations accompany the math. The second page provides 20 practice problems and their answers. This would be a...
Corbett Maths
Shortest Distance between Line and Point
A short video shows how to find the shortest distance between a line and a point on the coordinate plane. Using the fact the shortest distance is the perpendicular, the presenter shows the class how to find the intersection of the two...
EngageNY
There is Only One Line Passing Through a Given Point with a Given Slope
Prove that an equation in slope-intercept form names only one line. At the beginning, the teacher leads the class through a proof that there is only one line passing through a given point with a given slope using contradiction. The 19th...
Curated OER
Quiz: Lines and Planes
For this lines and planes worksheet, students answer eight true and false questions telling if two line segments are parallel or in the same plane. Students tell the line on the intersection of two lines and name the plane the lines are on.
Illustrative Mathematics
Fixing the Furnace
This comprehensive resource applies simultaneous equations to a real-life problem. Though the commentary starts with a graph, some home consumers may choose to begin with a table. A graph does aid learners to visualize the shift of one...
Illustrative Mathematics
Cell Phone Plans
Turn your classroom into a local cell phone store. Then, have your cell phone agents use linear equations to visually display three cell plans and their advantages. It makes for a great group project. Discuss how to decide which plan is...
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
Determining the Point of Intersection Using the TI-83 Plus Calculator
Middle and high schoolers graph two lines and identify the point of intersection of each set of line. They use the TI calculator to help them graph and solve. There are six questions with detailed instruction on how to graph correctly.
Illustrative Mathematics
Summer Swimming
Here is a real-world application for systems of equations. When is it better to pay an enrollment fee and lower daily rate, and when is it better to pay the regular price? The local swim center is having a special offer, reductions in...
McGraw Hill
Lines and Angles
Why was the obtuse angle upset? Because it was never right! A valuable resource is loaded with background information on types of angles and lines. Learners review the characteristics of parallel, perpendicular, and intersecting lines,...
Curated OER
Points, Lines, and Line Segments - Homework 16.1
In this geometry worksheet, students complete a homework assignment in which they name 3 lines and line segments. They write parallel, intersecting, or perpendicular, to describe the relationships between 4 pairs of lines. They draw an...
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 will...
Curated OER
Linear Inequalities in Two Variables
Use this activity as a warm up, a refresher exercise, or a practice after a more detailed lesson on graphing linear inequalities in two variables. Start with boundaries that are horizontal or vertical, then move into graphs with...
Curated OER
Parallel Lines
Based on two sets of parallel lines intersected by a transversal, your young geometers determine the measures of 10 angles by applying the definitions of vertical, corresponding, alternate interior, and alternate exterior angles. When...
Curated OER
Points of Intersection
Eighth and ninth graders solve five different problems that include solving two equations. They determine the point of intersection in each of the five pairs of equations given. Pupils define point of intersection as the point where two...
Flipped Math
Properties of Parallel Lines
Work within a parallel universe. Scholars learn about the relationships of angles when two parallel lines are intersected by a transversal. They see how to find the measurements of all eight angles by knowing the measure of one angle....
Curated OER
Skills Review Sheet: Equations
Learners find the equation that passes through two given points. They then locate the intersection of two lines, and find the x and y intercepts for four parabolas when given their equations. Answers are provided.
Mt. San Antonio Collage
Isosceles Triangles and Special Line Segments
Under which conditions can a triangle be classified as isosceles? High schoolers practice identifying isosceles triangles and special line segments, including angle bisectors, medians of triangles, and perpendicular bisectors of sides of...
Charleston School District
Parallel Lines Cut by a Transversal
Pupils study angle measurements between different types of angles associated with parallel lines and transversals. The independent practice asks pupils to identify the types of angles in a diagram and to determine the measure of angles.
Curated OER
Intersections, Unions, and Compound Inequalities
For this algebra worksheet, students graph inequalities on number lines. Two problems are written in interval notation. The other five problems require students to graph and then write in interval notation.
Curated OER
Worksheet 1 - Equation of a Line
In this equation of a line worksheet, students determine the equation of a line, use the distance formula to identify the relationship between two moving objects, and solve inequalities algebraically. This two-page worksheet contains...
Curated OER
Identify Parallel/Perpendicular/Intersecting Lines
For this identifying lines worksheet, middle schoolers examine given diagrams. They identify parallel, perpendicular, and intersecting lines. This two-page worksheet contains 10 problems. Answers are provided on the last page.