3.2 - Graphical Method of Solution of a Pair of Linear Equations
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Practice Questions
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Graph the equations y = 2x + 1 and y = -x + 3. Do they intersect?
💡 Hint: Plot both equations on a graph to see where they cross.
What do you call two lines that never intersect?
💡 Hint: Think about their slopes.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What can be said about two linear equations that have the same slope but different y-intercepts?
💡 Hint: Think about the slopes!
If two lines coincide when graphed, how many solutions do they have?
💡 Hint: What does coinciding mean in terms of solutions?
1 more question available
Challenge Problems
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Prove whether the equations 5x + 2y = 12 and 10x + 4y = 24 are dependent, independent, or inconsistent by graphing.
💡 Hint: Use the method of coefficients to compare.
Given two equations x + 2y = 5 and 3x - 6y = 15, determine the solutions.
💡 Hint: Check if you can manipulate one equation into the form of the other.
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