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,...
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 students develop an intuitive sense of the connection between...
Everyday Mathematics
Mathematics Within: Slope and Triangles
Learners discover a method for determining the slope of a line by creating and comparing similar triangles. They fold coordinate grids to make three similar triangles then measure the sides to compare the relationships between the...
Curated OER
Slope of a Line
In this slope of a line worksheet, learners solve and graph 2 different problems that include determining the slope of a line using the equation y=mx+b. First, they define the slope of a line and the y-intercept. Then, students use the...
Curated OER
Writing Linear Equations in Slope-Intercept Form
For this writing linear equations worksheet, students find the x- and y-intercepts of 4 equations. Students then write equations for 4 problems given the slope and y-intercepts. Additionally, students rewrite 4 standard form equations in...
Curated OER
Masters Level B: 5.4 The Slope-Intercept Form
For this slope-intercept form, students identify the x- and y-intercept form of a line. They graph equations using the slope and y-intercept. Students write the equation of a line that contains a pair of points. This one-page worksheet...
Curated OER
Graphing Lines in Slope-Intercept Form
Put it in slope-intercept form! Learners solve linear equations and sketch a graph of the equation on a coordinate plane. This worksheet contains 12 problems and an answer key.
CK-12 Foundation
Slope of a Tangent Line: Slope of the Tangent and Secant Lines
Learn to find the slope through a single point. The interactive provides a visualization of how to find the slope of a tangent line. With the aid of the visualization, pupils see the definition of the derivative in action. Class members...
PHET
Graphing Slope-Intercept
Slope-intercept form ... perhaps it has something to do with slope and intercepts? An easy-to-use interactive lets users adjust the locations of two points on a line. The interactive automatically updates the slope-intercept form of the...
Curated OER
Graphing Lines That Don't "Fit"
How can you graph lines that don't seem to fit on the given graph? What makes a line straight? What does the rate of change mean when graphing a line? How do you know if a slope is positive or negative? How do you know if the graph of a...
Curated OER
Easy Worksheet: Equations of Lines
The class solves 4 short answer problems. They write the equation of a line parallel to a given line passing through a point. Graph paper may be needed.
Curated OER
Exploring Slope
In this exploring slope learning exercise, students solve and complete 4 different problems. First, they compare an object's weight on Earth to an object's weight on another planet using the information given. Then, students compare this...
Curated OER
Scatter-Brained
Seventh graders graph ordered pairs on a coordinate plane. They create a scatterplot. Additionally, they determine the line of best fit and investigate the slope of the line. Multiple resources are provided. An excellent resource!
Curated OER
Slope and Intercept
In this slope and intercept worksheet, 10th graders solve 10 different problems that include the graphs of various forms of linear equations. First, they determine the slope of a line given the equation. Then, students determine if the...
Curated OER
Graphs & Equations of Lines
In this graphs and equations of lines worksheet, 10th graders solve 12 different problems that include graphs and various equations of lines. First, they determine the slope of a line that passes through two sets of points. Then,...
CK-12 Foundation
Tangent Line Approximation: Estimating Square Roots
Estimating a square root is as easy as evaluating a linear equation. Using the derivative of the square root function, pupils calculate an estimation of square roots. Class members determine the equation of the tangent line at the value...
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...
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...
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 play a...
EngageNY
Characteristics of Parallel Lines
Systems of parallel lines have no solution. Pupils work examples to discover that lines with the same slope and different y-intercepts are parallel. The 27th segment of 33 uses this discovery to develop a proof, and the class determines...
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...
Education Development Center
Points, Slopes, and Lines
Before graphing and finding distances, learners investigate the coordinate plane and look at patterns related to plotted points. Points are plotted and the goal is to look at the horizontal and vertical distances between coordinates and...
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).
West Contra Costa Unified School District
Sneaking Up on Slope
Pupils determine the pattern in collinear points in order to determine the next point in a sequence. Using the definition of slope, they practice using the slope formula, and finish the activity with three different ways to determine the...