Solving Linear Systems by Graphing
Free to teach as-is — the teacher guide, student handout, and slides are included.
Free — we'll email you an access link. Google Docs format.
Objective
I can solve a system of two linear equations by graphing them on the coordinate plane and identifying the point of intersection.
Part 1 of 4
Warm-up video
Khan Academy · 5:54Vetted channel
We don't generate video — this one is by Khan Academy on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.
Part 2 of 4
Key concepts
3 concepts
- 1
If Abby's earnings are represented by a, and Ben's earnings are represented by b, then a + b = $50.
- 2
The point where the two lines intersect represents the earnings of Abby and Ben that satisfy both constraints.
- 3
The solution to the system of equations can be found by identifying the point of intersection on the graph, where one axis represents Abby's earnings and the other represents Ben's earnings.
Part 3 of 4
Practice
12 questions
What does the point of intersection of two lines in a system of equations represent?
If two lines are graphed on the coordinate plane and they do not intersect, what does this indicate about the system of equations?
Part 4 of 4
Exit ticket
Quick comprehension check
“Solve the following system of equations by graphing each line and identifying the point of intersection: y = x + 2; y = -x + 6”
Sample answer included in the free materials
Get the materials
Teacher guide, student handout, and slides — free, in Google Docs format
Teacher Guide
Complete lesson plan with answer keys and alternate activities
Student Handout
Printable worksheet
Slides
Ready to present
We'll ask for your email to send your access link — nothing else.
Teaching a group at a different level?
Where are your students right now? We'll rebuild this lesson to match — including the teacher guide, student handout, and slides, saved to your Google Drive.
Adapt This Lesson
