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.
Part 1 of 4
Warm-up video
Mathispower4u · 4:18
We don't generate video — this one is by Mathispower4u 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
When solving a system of equations by graphing, the solution is the x and y values that satisfy both equations, which is found at the point of intersection.
- 2
If two lines are graphed on the same coordinate plane and do not intersect, there is no solution and the system is called inconsistent.
- 3
When graphing lines in slope-intercept form (y = mx + b), 'm' represents the slope and 'b' represents the y-intercept.
Part 3 of 4
Practice
10 questions
What does it mean to solve a system of equations?
When graphing two linear equations, what indicates that the system has no solution?
Part 4 of 4
Exit ticket
Quick comprehension check
“Solve the following system of equations by graphing. Clearly plot each line on the coordinate plane and indicate the point of intersection. Number the coordinate plane axes from -5 to 5. y = x + 3, y = -x + 1”
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
