Willow Tree
Equations of a Line
Each form of a linear equation has its purpose — pupils just have to find it. Building on the previous lesson in the series, learners examine point-slope and standard form. Using point-slope form, pupils write the equation of a...
Curated OER
Practice Finding the Equation of a Line
Practice finding the equation of a line with this algebra lesson. Middle schoolers are given a pair of coordinate points representing two points and are asked to write the equation of a line. Then, they are given an equation and asked to...
Curated OER
Write the Equation of a Line Given Two Points
Ninth graders write the equation of a line using two points. They are given a set of coordinate pairs and asked to write the equations of line using the slope and a point. Next, they use the formula y2-y1 divided by x2-21 to find the slope.
EngageNY
Equations for Tangent Lines to Circles
Don't go off on a tangent while writing equations of tangent lines! Scholars determine the equations for tangent lines to circles. They attempt both concrete and abstract examples, such as a tangent line to the unit circle through (p, 0).
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
Writing Equations of Lines Using The Point-Slope Form
In this writing equations worksheet, students find the equation of a line containing specified points. They determine the slope of a line from given points. This two-page worksheet contains 20 problems. Examples and explanations are...
EngageNY
Every Line is a Graph of a Linear Equation
Challenge the class to determine the equation of a line. The 21st part in a 33-part series begins with a proof that every line is a graph of a linear equation. Pupils use that information to find the slope-intercept form of the equation...
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...
Curated OER
Slopes and the Equation of a Line
In this slope and the equation of a line worksheet, 9th graders solve 15 various types of problems that include determining the slope of a line segment and determining the equation of line when two points on the line are presented. They...
EngageNY
The Graph of a Linear Equation in Two Variables
Add more points on the graph ... and it still remains a line! The 13th installment in a series of 33 leads the class to the understanding that the graph of linear equation is a line. Pupils find several solutions to a two-variable linear...
Curated OER
Other Equations of Lines
For this algebra worksheet, learners 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...
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...
CK-12 Foundation
Families of Lines: Room in Perspective
Get a perspective of lines that share a point. The interactive displays a family of lines that share the same y-intercept. Individuals can find the equations of the lines by moving the line displayed and find what is common about all the...
Radford University
Finding a Location for Your Kitchen Island
Where is the best place to work? Small groups map out a kitchen on a coordinate plane and find the centers of the work triangle to find the best place to install an island. The teams use algebraic methods to locate the center by finding...
Willow Tree
Approximating a Line of Best Fit
You may be able to see patterns visually, but mathematics quantifies them. Here learners find correlation in scatterplots and write equations to represent that relationship. They fit a line to the data, find two points on the line, and...
West Contra Costa Unified School District
Discovering Slope of a Line in Standard Form
From start to finish this skills practice resource provides a way for individuals to explore the standard form equation of a line. Begin with a warm-up, work through the problems, and then discover the relationship between the equation...
Curated OER
Find Equation of Straight Line
In this algebra worksheet, 9th graders are given the slope and y-intercept and asked to find the equation of a line. There are 7 questions with an answer key.
EngageNY
Linear Transformations of Lines
Discover the extension of parametric equations to model linear transformations. Scholars first write parametric equations to model lines through two points. They then find the parametric equations that represent a linear transformation.
BW Walch
Solving Systems of Linear Equations
Solving systems of equations underpins much of advanced algebra, especially linear algebra. Developing an intuition for the kinds and descriptions of solutions is key for success in those later courses. This intuition is exactly what...
CK-12 Foundation
Determining the Equation of a Line: Trip Functions
Let the function drive the activity. The interactive displays the odometer on a car for a trip. Pupils determine and interpret the slope of the situation. Then, they find a verbal description of the equation of the function.
Curated OER
Worksheet 3.5 Simultaneous Equations
In this simultaneous equations worksheet, students solve and complete 7 various types of problems. First, they solve graphically the system of equations shown. Then, students find the number of solutions that each pairs of equations...
Curated OER
Analyzing Equations Through Slope and Y-int
With problems applying to modern-day topics like Netflix and McDonald's, math whizzes analyze graphs and investigate the slopes. For this algebra worksheet, learners identify the slope and y-intercept of the given equations. They graph...
Illustrative Mathematics
The Circle and The Line
Here is a resource where algebra learners show their understanding of a system of equations involving a circle and a line. Once graphed, learners see two points of intersection, one where the ordered pair is read, and a second where...
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...