Math Problem Statement
What are the coordinates of the solution in Quadrant I? A.(−7,0)
B.(−1,6)
C.(1.5,12.25)
D.(3,10)
Solution
To identify the coordinates of the solution in Quadrant I, we need to recall that Quadrant I is the part of the coordinate plane where both - and -coordinates are positive. Therefore, any point located in this quadrant will have both and .
Let's analyze the options:
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A. : This point is on the x-axis. Since the y-coordinate is 0 and not positive, it does not lie in Quadrant I.
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B. : This point is in Quadrant II because the x-coordinate is negative while the y-coordinate is positive.
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C. : Both the x-coordinate and y-coordinate are positive, so this point lies in Quadrant I.
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D. : Both the x-coordinate and y-coordinate are positive, so this point also lies in Quadrant I.
Therefore, the coordinates of the solution in Quadrant I are C. and D. .
Would you like more details or further clarifications?
Here are some follow-up questions:
- What are the properties of each quadrant in the Cartesian plane?
- Can you explain how to determine whether a point lies in Quadrant I, II, III, or IV?
- How does the sign of the x- and y-coordinates affect the quadrant in which a point lies?
- What happens if either the x-coordinate or the y-coordinate is zero?
- Can you identify coordinates that would lie on the axes?
Tip: Remember that in Quadrant I, both coordinates are positive, which helps to immediately eliminate points that have any negative values.
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Math Problem Analysis
Mathematical Concepts
Coordinate Geometry
Quadrants of the Cartesian Plane
Formulas
Quadrant identification: (x > 0, y > 0) for Quadrant I
Theorems
Properties of Cartesian Plane Quadrants
Suitable Grade Level
Grades 6-8