Solving Systems of Equations by Graphing
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Objective
Students will be able to solve a system of linear equations by graphing each equation and identifying the point of intersection.
Part 1 of 4
Warm-up video
Khan Academy · 8:30Vetted 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
When graphing a system of equations, the intersection of the lines represents the x and y pair that satisfies both equations.
- 2
A system of equations is when you have 2 equations that contain your x and y values, and the solution is where the lines intersect.
- 3
To solve a system of equations graphically, graph both equations and find the point of intersection, which represents the solution to both equations.
Part 3 of 4
Practice
8 questions
What does it mean to solve a system of equations?
If two lines graphed on the coordinate plane do not intersect, what does this indicate about the system of equations they represent?
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 = 2x - 2 and y = -x + 4. What coordinate point (x, y) is the solution?”
Sample answer included in the free materials
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