Curated OER
Slope-Intercept Form of a Line
Using the subscriber website Explorelearning.com, young mathematicians observe changes in the slope and y-intercept and their effect on the graph of lines. This activity helps learners develop an intuitive sense of the connection between...
Curated OER
Y-Intercept and Slope Intercept Form
Alegebra amateurs identify the slope and the y-intercept given a linear equation in slope-intercept form by correctly completing some in class problems. They write the linear equation in slope-intercept form that corresponds to the given...
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. In this algebra worksheet, learners identify the slope and y-intercept of the given equations. They graph...
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...
Curated OER
Point-Slope Form of a Line
This activity helps young mathematicians connect the graph and the point-slope form of a line, by first solving a real-world problem and then using that example to motivate the understanding of the equation. By manipulating the gizmo,...
EngageNY
The Line Joining Two Distinct Points of the Graph y=mx+b Has Slope m
Investigate the relationship between the slope-intercept form and the slope of the graph. The lesson plan leads an investigation of the slope-intercept equation of a line and its slope. Pupils realize the slope is the same as the...
Curated OER
Rewriting Linear Equations in Slope-Intercept Form
In this linear equation worksheet, students write given equations in the slope-intercept form. They identify the slope and y-intercept. This one-page worksheet contains ten problems, with answers.
Virginia Department of Education
Equations of Lines
Scholars connect slope-intercept form and standard form to the values of m and b by first matching a set of cards that have slope-intercept form, standard form, values of m, values of b, and graphs of linear equations. They then...
Curated OER
Slope-Intercept Form of a Line
Students determine how the slope affects the graph of a line. They relate "b" to the "y"-intercept of a line and solve the equation of a line given "m" and "b." They are given scenarios and possible answers to which they explain why or...
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
Investigating Equations of Lines
High schoolers investigate linear equations as they use technology (Cabri, Jr.) to explore the equations of lines in slope-intercept form. The technology allows learners to manipulate the line and observe the changes in the parameters of...
Curated OER
Convert Standard Form to Slope-Intercept Form
Ninth graders convert between the standard form of an equation and the y-intercept form. For this algebra lesson, 9th graders rewrite equations from their standard form into the y=mx + b form. They solve for y using the distributive...
Curated OER
Other Equations of Lines
In this algebra worksheet, students 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...
Curated OER
Introducing y = mx + b
Middle and high schoolers use the slope intercept form to graph a line. In this algebra lesson, pupils rewrite equations from standard form to y-intercept form. They use the slope and y-intercept to graph a line without making a table of...
Curated OER
Lines, Lines, Everywhere
Students explore linear equation suing real life scenarios. In this algebra lesson, students find the slope and intercept of a line. They create table of values to plot their graph and draw conclusions.
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...
Curated OER
Graphing from Slope-Intercept Form: Practice A
Ninth graders investigate the slope-intercept form of a line. For this Algebra I lesson, 9th graders graph linear equations by using the slope and y-intercept.
Curated OER
Writing Linear Equations in Slope-Intercept Form
In this math worksheet, students are given three lines graphed on a coordinate grid. Students identify the slope, intercepts, and write an equation for each. Students find the intercepts of a linear equation, and graph them. They write...
Teach Engineering
Forms of Linear Equations
Linear equations are all about form. The fifth part in a unit of nine works with the different equivalent forms of linear equations. Class members become familiar with each form by identifying key aspects, graphing, and converting...
West Contra Costa Unified School District
Point-Slope Application Problems
Create a linear equation for a problem when the intercept information is not given. The two-day lesson introduces the class to the point-slope form, which can be used for problems when the initial conditions are not provided. Pupils...
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...
Virginia Department of Education
Slope-2-Slope
Pupils build on previous experience with slope to investigate positive, negative, zero, and undefined slope. They complete a puzzle matching slope-intercept and standard forms of linear equations.
Illustrative Mathematics
DVD Profits, Variation 1
The idea in the resource is to understand the connections between proportional relationships, lines, and linear equations. To stay within the context of the standard, skip the part of the resource that solves with unit rates. Instead,...
Curated OER
Graphs and Functions
Middle schoolers describe plotting functions on the Cartesian coordinate plane. They solve functions on paper and using an online tool to plot points on a Cartesian coordinate plane creating lines and parabolas.