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...
Math Worksheets 4 Kids
Point of Intersection Worksheet 2
Math wizards rewrite pairs of linear equations in the y-intercept form and graph them on a coordinate plane. They identify where the lines cross, i.e. the point of intersection. There are four questions with coordinate planes for drawing...
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...
Curated OER
1.2 Points, Lines and Planes
This is a lengthy overview PowerPoint that defines, explains, shows examples, and has practice problems about points, lines and planes. The class will need to write many notes and there is an example of how to set up in the Cornell...
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.
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
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...
Curated OER
Geometry - Angles Overview
Learners address 14 questions that include naming all pairs of opposite and supplementary angles for sets of intersecting lines and then, finding the measure of the unknown angle. They determine the measure of the angle that is...
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...
Curated OER
Graphing Points: Post Test
In this graphing points worksheet, students answer multiple choice questions about the points on a given graph. Students answer 10 questions total.
Curated OER
Graphing Points: Pre Test
In this graphing points worksheet, students complete multiple choice questions about axis's on a graph and points on a graph. Students complete 10 questions total.
Curated OER
Plotting Coordinates on a Grid
In this plotting points on a graph worksheet, students plot 6 points on 6 graphs. Students plot x and y-coordinates in the first quadrant.
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...
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
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
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.
EngageNY
Geometric Interpretations of the Solutions of a Linear System
An intersection is more than just the point where lines intersect; explain this and the meaning of the intersection to your class. The 26th segment in a 33-part series uses graphing to solve systems of equations. Pupils graph linear...
Fredonia State University of New York
Watch Your Step…You May Collide!
Can two lines intersect at more than one point? Using yarn, create two lines on the floor of the classroom to find out. Cooperative groups work through the process of solving systems of equations using task cards and three different...
Curated OER
Archimedes
In this Archimedes worksheet, learners complete and respond to 4 different problems related to different triangles. First, they find the midpoint of each side of a given triangle. Then, students connect the midpoints with the opposite...
CK-12 Foundation
Graphs of Linear Systems: Heart Rate Tracker
Max out heart rates for males and females. Formulas of maximum heart rates provide the equations for a linear system. Pupils use the interactive to graph the equations for males and females and determine their points of intersection. The...
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...
CK-12 Foundation
Graphs of Linear Systems: Star Lines
Let the class stars shine. Using four given linear equations, scholars create a graph of a star. The pupils use the interactive to graph the linear systems and determine the points of intersection. Through the activity, classmates...
Curated OER
The Pentagram Problem
In this pentagram worksheet, students examine a pentagram and number the intersection of lines. They number the crosspoints in such a way that the sum of the numbers on each line are equal. This one-page worksheet contains 1 problem. ...
Curated OER
A Point of Intersection
Students factor and solve systems of equation. In this algebra instructional activity, students identify the point of intersection using substitution, elimination and graphing. They write an equation given a system and a graph.