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...

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...

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...

Develop another way to find the equation of a line. The lesson introduces the procedure to find the equation of a line given two points on the line. Pupils determine the two points from the graph of the line.

Create a linear equation for a problem when the intercept information is not given. The two-day lesson plan introduces the class to the point-slope form, which can be used for problems when the initial conditions are not provided. Pupils...

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,...

Your learners will explore linear functions by analyzing a graph of the linear equations.Then learners analyze through calculating f(x+P) and g(x+p)

Show your class that linear equations produce graphs of lines. The 20th segment in a unit of 33 provides proof that the graph of a two-variable linear equation is a line. Scholars graph linear equations using two points, either from...

A car traveling down a steep hill is the model for this resource. The confusion comes when the elevation, E, is given in terms of distance, d. The distance, d, is the horizontal distance from E. Therefore, the equation, E = 7500 – 250d,...

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...

Learners analyze the difference between the slope intercept and standard forms of a line in this task. Given two general points using letters they explore linear functions and linear equations.

This exercise is an opportunity for algebra learners to understand the connection between the slope of a line and points found on the line. Use similar triangles to explain why slope m is the same between any two points. Discuss with the...

Target C from the Smarter Balanced assessment for eighth grade is understanding the connections between proportional relationships, lines, and linear equations. A slide show includes items about graphing proportional relationships and...

What if a coordinate plane becomes a slope-intercept plane? What does the graph of a linear function look like? Learners explore these questions by graphing the y-intercept of a linear equation as a function of its slope. The result is a...

Algebra learners like this resource because it is easy to understand and it relates to their lives. Whether you are starting a new workout routine, or just climbing the stairs, your heart rate increases and decreases throughout the day....

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...

Jam packed with problems, this advanced Algebra worksheet focuses on topics such as domain, solving quadratics, solving rationals, and function notation.  

Many organizations put on barbecues in order to make money. In a real-world math problem, the money allotted to purchase steak and chicken at this barbecue is only one hundred dollars. It is up to your potential chefs to figure out how...

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...

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...

In this exercise, students practice determining a slope-intercept equation from a graph. Students receive immediate feedback and have the opportunity to watch a video, get hints, or try questions repeatedly.

In this exercise, students practice constructing the linear equation given two points on a line graph. Students receive immediate feedback and have the opportunity to watch a video, get hints, or try questions repeatedly.

Students practice graphing linear equations using slope-intercept form. The resource consists of an example, practice exercises, and solutions.

Students show comprehension of advanced mathematical concepts in Algebra II. The questions check understanding on graphing linear equations. Topics include x-intercepts, y-intercepts, graphing, and slope-intercept form.