Curated OER
Slope
In this slope learning exercise, students determine slope for 6 pairs of points. Students then complete 6 problems to determine a missing coordinate given the slope.
Curated OER
The Slope of Parallel and Perpendicular Lines
In this Algebra I/Algebra II worksheet, students examine slope to determine if the given lines are parallel or perpendicular. Students determine the equation of lines that are either parallel or perpendicular to the given...
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,...
Curated OER
Writing Equations in Slope-Intercept Form
Use this worksheet to write equations in both point-slope form and slope-intercept form. Start by writing equations given one point and the slope and finish by writing equations given two points and a few real-world applications. The...
Curated OER
Slope
In this slope learning exercise, 9th graders solve and complete 15 different problems that include identifying various points on a grid. First, they find the slope of each line segments listed on the left. Then, students write their...
Curated OER
Graphing Linear Equations
In this linear equations worksheet, students graph linear equations on a coordinate plane. They identify the slope and the y-intercept. This five-page worksheet contains approximately 36 problems.
Curated OER
Graphing
In this graphing worksheet, students solve and graph 10 different problems that include determining various coordinates and the slope. First, they use the table to write the x and y coordinates for each point on the graphs. Then,...
Curated OER
Graphs
In this algebra worksheet, students solve three linear equations to by substitution to determine if the given point is a solution. Students graph and determine the slope and y-intercept of 5 linear equations.
EngageNY
Designing a Search Robot to Find a Beacon
Build right angles using coordinate geometry! Pupils explore the concept of slope related to perpendicular lines by examining 90-degree rotations of right triangles. Learners determine the slope of the hypotenuse becomes the opposite...
EngageNY
Lines That Pass Through Regions
Good things happen when algebra and geometry get together! Continue the exploration of coordinate geometry in the third lesson in the series. Pupils explore linear equations and describe the points of intersection with a given polygon as...
EngageNY
Criterion for Perpendicularity
The Pythagorean Theorem is a geometry pupil's best friend! Learners explain the equation a1b1 + a2b2 = 0 for perpendicular segments using the Pythagorean Theorem. They are able to identify perpendicular segments using their...
Curated OER
Unit Squares and Triangles
This is an interesting geometry problem. Given the figure, find the area of a triangle that is created by the intersecting lines. The solution requires one to use what he/she knows about coordinate geometry, as well as triangle...
EngageNY
Dividing Segments Proportionately
Fractions, ratios, and proportions: what do they have to do with segments? Scholars discover the midpoint formula through coordinate geometry. Next, they expand on the formula to apply it to dividing the segment into different...
Illustrative Mathematics
Coffee by the Pound
This is a great exercise in graphing proportional quantities to interpret the unit rate as the slope of a graph. It is not easy for learners to understand what a unit rate is. When it is presented as the slope of a linear line graph,...
Concord Consortium
Shooting Arrows through a Hoop
The slope makes a difference. Given an equation of a circle and point, scholars determine the relationship of the slope of a line through the point and the number of intersections with the circle. After graphing the relationship, pupils...
Curated OER
Slope of a Line
For this slope of a line worksheet, students solve ten problems determining the slope of points and an equation. First, they find the slope of the line containing the two points given in the first five problems. Then, students graph the...
Curated OER
Slopes of Lines
In this slopes of lines worksheet, 10th graders solve and graph 10 different problems. First, they determine the slope of each line named in the figure and any line parallel to line b and perpendicular to line d. Then, students graph the...
Curated OER
Slope and Equations of Lines
In this slope worksheet, young scholars find the equation of a line given a pair of points or a given slope. Examples are provided at the beginning of this worksheet. There are 20 problems on this two-page worksheet.
Curated OER
Linear Equations
In this linear equation worksheet, students answer 10 multiple choice questions involving writing the equation of lines and identifying linear equations in the coordinate plane.
EngageNY
Some Facts About Graphs of Linear Equations in Two Variables
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.
Curated OER
Writing Linear Equations
For this linear equations worksheet, 9th graders solve and complete 12 different problems that include writing the equations in point-slope and standard forms. First, they write the standard form of an equation that passes through the...
Curated OER
Finding Equations From Graphs
For this equations from graphs worksheet, 9th graders solve and graph 10 different problems that include determining the actual equation for each. First, they determine the slope and y-intercept for each graph shown on the right. Then,...
Curated OER
Graphing Systems of Equations
In this graphing systems of equations worksheet, 9th graders solve and graph 8 different problems that include solving various systems of equations. First, they use the graphs show to determine whether each system has one solution, no...
Curated OER
Writing Linear Equations
In this linear equations worksheet, 9th graders solve and complete 15 different problems that include writing each in slope-intercept form. First, they state the slope, x-and y-intercepts, and write an equation in slope-intercept form...