Practice Graphical Method Of Solution Of A Pair Of Linear Equations (3.2) - PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

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6 sample questions

Question 1.
Graph the equations y = 2x + 1 and y = -x + 3. Do they intersect?
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Plot both equations on a graph to see where they cross.
Question 2.
What do you call two lines that never intersect?
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Think about their slopes.
3Question 3.
What can be said about two linear equations that have the same slope but different y-intercepts?
- They intersect at one point.
- They are parallel.
- They are coincident.
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Think about the slopes!
4Question 4.
If two lines coincide when graphed, how many solutions do they have?
- True
- False
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What does coinciding mean in terms of solutions?
Question 5.
Prove whether the equations 5x + 2y = 12 and 10x + 4y = 24 are dependent, independent, or inconsistent by graphing.
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Use the method of coefficients to compare.
Question 6.
Given two equations x + 2y = 5 and 3x - 6y = 15, determine the solutions.
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Check if you can manipulate one equation into the form of the other.

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