Graphing with X and Y Intercepts
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Objective
I can find the x and y intercepts of a linear equation to graph it on a coordinate plane.
Part 1 of 4
Warm-up video
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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 solving a system of linear equations by graphing, the solution is the intersection of the two graphs, representing the x and y values that satisfy both equations.
- 2
To graph the linear equation 5x + 3y = 7, we can find two points such as the intercepts: when x=0, y=7/3, and when y=0, x=7/5.
- 3
To check if the point (2, -1) is a solution to the system, substitute x=2 and y=-1 into both equations: 5(2) + 3(-1) = 7 and 3(2) - 2(-1) = 8.
Part 3 of 4
Practice
9 questions
What does it mean to 'solve a system of linear equations'?
Why is the intersection point of two lines the solution to a system of equations?
Part 4 of 4
Exit ticket
Quick comprehension check
“What are the x and y intercepts of the equation 2x + 4y = 8? Show your work.”
Sample answer included in the free materials
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