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...

What does slope have to do with lines? Pupils work with lines and determine the slope of the lines informally and with the slope formula. Groups use their knowledge to calculate the slopes of parallel and perpendicular lines. They also...

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...

If at first you cannot graph, substitute. The activity 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...

Young geometers develop one of the fundamental properties of quadrilaterals (connecting side midpoints gives a parallelogram) in this short but thought-provoking exercise. Using a combination of hands-on techniques and abstract algebraic...

Just between us, this is a pretty cool lesson! Given two functions with the same slope, learners write three new functions whose outputs are all between the given functions. The question is open-ended, allowing pupils to explore the...

Algebra and geometry are not interchangeable. Demonstrate why not with a series of problems that deal with the equations of circles and equations of lines that meet specific criteria. 

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...

In this integrated algebra worksheet, students solve problems covering topics studied during the year. Problems include slope-intercept, Venn Diagrams, finding solutions to multi-step algebra problems, writing equations parallel and...

Write the equation for a line that is a parallel or perpendicular to a line given in slope-intercept form and that goes through a specific point. Students receive immediate feedback and have the opportunity to try questions repeatedly,...

Use your knowledge about the slopes of parallel and perpendicular lines to solve some problems. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

Given points that two lines go through or the graph of each line, classify the lines as parallel, perpendicular, or neither. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or...

Learners demonstrate comprehension of advanced mathematical concepts in Algebra II. The questions check understanding on linear equations. Topics include writing equations of parallel and perpendicular lines.

Use your knowledge about the slopes of parallel and perpendicular lines to solve some problems. For example, what's the equation of the lineperpendicular to y=3x-3 and passes through the point (-8, -2).