Solving Linear Systems Graphically Answers
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-2
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3
What do the equations have in common? How are they different?
The equations have the same slope, -2, but different y-intercepts, 5 and 3.
Which statements did you include in your answer?
intersect at one pointcoincide✔ are parallel
✔ no solution.exactly one solution.infinitely many solutions.
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-3
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-2
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-3
What do the equations have in common?
They have the same slope, −2, and the same y-intercept, −3, so they represent the same line.
Which statements did you include in your answer?
intersect at one point✔ coincideare parallel
no solution.exactly one solution.✔ infinitely many solutions.
Consider the system:y = 3x + 5y = ax + bWhat values for a and b make the system inconsistent? What values for a and b make the system consistent and dependent? Explain.
The system is inconsistent when a = 3 and b ≠ 5. It is consistent and dependent when a = 3 and b = 5.
Which statements did you include in your answer?
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The slopes are different and the y-intercepts are different.
Write each equation in slope-intercept form. y = x + y = x +
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