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Where is (2, –6) located on the coordinate plane? Choose 1 answer: A First quadrant B Second quadrant Third quadrant Fourth quadrant E x-axis у-аxis

Where is (2, –6) located on the coordinate plane? Choose 1 answer: A First quadrant B Second quadrant Third quadrant Fourth quadrant E x-axis у-аxis

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Understanding the Coordinate Plane** **Question:** Where is the point \( (2, -6) \) located on the coordinate plane? **Options:** A) First quadrant B) Second quadrant C) Third quadrant D) Fourth quadrant E) \( x \)-axis F) \( y \)-axis **Explanation of the Coordinate Plane:** The coordinate plane is divided into four quadrants: - **First Quadrant (A):** Both \( x \) and \( y \) coordinates are positive. - **Second Quadrant (B):** \( x \) is negative, \( y \) is positive. - **Third Quadrant (C):** Both \( x \) and \( y \) coordinates are negative. - **Fourth Quadrant (D):** \( x \) is positive, \( y \) is negative. - Points lying directly on the axes can be categorized as: - **\( x \)-axis (E):** \( y \) coordinate is zero. - **\( y \)-axis (F):** \( x \) coordinate is zero. **Analysis:** The point \( (2, -6) \) has a positive \( x \)-coordinate and a negative \( y \)-coordinate, placing it in the **Fourth Quadrant (D)** on the coordinate plane.
Transcribed Image Text:**Understanding the Coordinate Plane** **Question:** Where is the point \( (2, -6) \) located on the coordinate plane? **Options:** A) First quadrant B) Second quadrant C) Third quadrant D) Fourth quadrant E) \( x \)-axis F) \( y \)-axis **Explanation of the Coordinate Plane:** The coordinate plane is divided into four quadrants: - **First Quadrant (A):** Both \( x \) and \( y \) coordinates are positive. - **Second Quadrant (B):** \( x \) is negative, \( y \) is positive. - **Third Quadrant (C):** Both \( x \) and \( y \) coordinates are negative. - **Fourth Quadrant (D):** \( x \) is positive, \( y \) is negative. - Points lying directly on the axes can be categorized as: - **\( x \)-axis (E):** \( y \) coordinate is zero. - **\( y \)-axis (F):** \( x \) coordinate is zero. **Analysis:** The point \( (2, -6) \) has a positive \( x \)-coordinate and a negative \( y \)-coordinate, placing it in the **Fourth Quadrant (D)** on the coordinate plane.
**Instructions:** ### Objective: Drag the dot to plot the point (2, -6) on the coordinate plane, and identify its location. ### Graph Description: The graph is a standard coordinate plane with an x-axis and a y-axis, both labeled with numbers from -9 to 9. The axes are marked with grid lines to help locate points accurately. - **X-axis (horizontal):** Numbers from -9 to 9 - **Y-axis (vertical):** Numbers from -9 to 9 ### Current Position: There is a green dot at the origin (0,0) on the coordinate plane. ### Task: Reposition the green dot to the coordinates (2, -6). 1. **Locate the x-coordinate (2):** Start from the origin and move 2 units to the right along the x-axis. 2. **Locate the y-coordinate (-6):** From the x-coordinate position, move 6 units downward. ### Question: Where is the point (2, -6) located on the coordinate plane? **Answer:** The point (2, -6) will be positioned 2 units to the right of the origin and 6 units below, placing it in the fourth quadrant of the plane.
Transcribed Image Text:**Instructions:** ### Objective: Drag the dot to plot the point (2, -6) on the coordinate plane, and identify its location. ### Graph Description: The graph is a standard coordinate plane with an x-axis and a y-axis, both labeled with numbers from -9 to 9. The axes are marked with grid lines to help locate points accurately. - **X-axis (horizontal):** Numbers from -9 to 9 - **Y-axis (vertical):** Numbers from -9 to 9 ### Current Position: There is a green dot at the origin (0,0) on the coordinate plane. ### Task: Reposition the green dot to the coordinates (2, -6). 1. **Locate the x-coordinate (2):** Start from the origin and move 2 units to the right along the x-axis. 2. **Locate the y-coordinate (-6):** From the x-coordinate position, move 6 units downward. ### Question: Where is the point (2, -6) located on the coordinate plane? **Answer:** The point (2, -6) will be positioned 2 units to the right of the origin and 6 units below, placing it in the fourth quadrant of the plane.
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