True or False | Thinking | Vocabulary | Problem |
---|---|---|---|
In the equation y = mx + b, x is representing the y-intercept.
False
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How many solutions does a consistent, dependent line have?
One solution
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What does inconsistent mean?
There is no solution or no intersection
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Name the relation between y = 2x + 3 and y = -2x - 5
Consistent, independent
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Parallel lines never intersect and have the same slope.
True
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If a system of equations is independent it must be what?
No solution
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What does it mean when an equation is independent?
The two lines intersect at one point
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Graph each system and determine the number of solutions it has: y = 3x + 10 and y = x - 2.
One solution
|
A system of equations can be inconsistent and independent.
False
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If two lines have the same y-intercept, is there no solution?
No
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What does it mean when an equation is dependent?
The same line
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Are these equations consistent or inconsistent? y = 5x + 2 and y = 5x + 6.
Inconsistent (slopes are equal, but y-intercept is different)
|
When two equations have the same slope, they can either be dependent or inconsistent.
True
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What form is y = mx + b in?
Slope intercept
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If a graph has no solution, you can describe it as...
Inconsistent
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Name the point at which the equations intersect. y = 2/3x and y = -2/3x + 4.
(2, 3)
|