The ordered pair (a, b) gives the location of point P on the coordinate plane. The value of a is positive. Quadrant II Quadrant I Quadrant III Quadrant IV Where could point P be located on the coordinate plane?

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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The ordered pair \((a, b)\) gives the location of point \(P\) on the coordinate plane. The value of \(a\) is positive.

The coordinate plane is divided into four quadrants:

- **Quadrant I**: Located in the upper right section where both \(x\) and \(y\) values are positive.
- **Quadrant II**: Located in the upper left section where \(x\) values are negative and \(y\) values are positive.
- **Quadrant III**: Located in the lower left section where both \(x\) and \(y\) values are negative.
- **Quadrant IV**: Located in the lower right section where \(x\) values are positive and \(y\) values are negative.

Where could point \(P\) be located on the coordinate plane?
Transcribed Image Text:The ordered pair \((a, b)\) gives the location of point \(P\) on the coordinate plane. The value of \(a\) is positive. The coordinate plane is divided into four quadrants: - **Quadrant I**: Located in the upper right section where both \(x\) and \(y\) values are positive. - **Quadrant II**: Located in the upper left section where \(x\) values are negative and \(y\) values are positive. - **Quadrant III**: Located in the lower left section where both \(x\) and \(y\) values are negative. - **Quadrant IV**: Located in the lower right section where \(x\) values are positive and \(y\) values are negative. Where could point \(P\) be located on the coordinate plane?
### Quadrants and Axes in the Cartesian Coordinate System

Explore the components of the Cartesian coordinate system. Choose all answers that apply:

- **A**: Quadrant I
- **B**: Quadrant II
- **C**: Quadrant III
- **D**: Quadrant IV
- **E**: \( x \)-axis
- **F**: \( y \)-axis

Understanding these elements is crucial for effective navigation and plotting within a 2D coordinate plane. Quadrants are numbered counterclockwise starting from the top-right: 

- **Quadrant I**: Positive \( x \) and \( y \) values
- **Quadrant II**: Negative \( x \), positive \( y \)
- **Quadrant III**: Negative \( x \) and \( y \)
- **Quadrant IV**: Positive \( x \), negative \( y \)

The axes intersect at the origin, marking the central point \((0,0)\) in the plane.
Transcribed Image Text:### Quadrants and Axes in the Cartesian Coordinate System Explore the components of the Cartesian coordinate system. Choose all answers that apply: - **A**: Quadrant I - **B**: Quadrant II - **C**: Quadrant III - **D**: Quadrant IV - **E**: \( x \)-axis - **F**: \( y \)-axis Understanding these elements is crucial for effective navigation and plotting within a 2D coordinate plane. Quadrants are numbered counterclockwise starting from the top-right: - **Quadrant I**: Positive \( x \) and \( y \) values - **Quadrant II**: Negative \( x \), positive \( y \) - **Quadrant III**: Negative \( x \) and \( y \) - **Quadrant IV**: Positive \( x \), negative \( y \) The axes intersect at the origin, marking the central point \((0,0)\) in the plane.
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