Math Problem Statement

The graph shows the four quadrants of the coordinate plane. An XY coordinate plane divided into four quadrants. The x axis runs from left to right. The y axis runs up and down. Quadrant 1 is the top right quadrant. Quadrant 2 is the top left quadrant. Quadrant 3 is the bottom left quadrant. Quadrant 4 is the bottom right quadrant. [y] [x] [\text{Quadrant I}] [{\text{Quadrant II}}] [{\text{Quadrant III}}] [\text{Quadrant IV}] Where is [(2,-6)] located on the coordinate plane? Choose 1 answer: Choose 1 answer: (Choice A) Quadrant [\mathrm{I}] A Quadrant [\mathrm{I}] (Choice B) Quadrant [\mathrm{II}] B Quadrant [\mathrm{II}] (Choice C) Quadrant [\mathrm{III}] C Quadrant [\mathrm{III}] (Choice D) Quadrant [\mathrm{IV}] D Quadrant [\mathrm{IV}] (Choice E)
[x]-axis E [x]-axis (Choice F)
[y]-axis F [y]-axis

Solution

The point (2,−6)(2, -6) consists of an xx-coordinate of 2 and a yy-coordinate of −6-6.

  • The xx-coordinate is positive, which means it is to the right of the origin.
  • The yy-coordinate is negative, which means it is below the origin.

A point with a positive xx-coordinate and a negative yy-coordinate is located in Quadrant IV.

So, the correct answer is:

Choice D: Quadrant IV.

Would you like further details on this or have any other questions?

Here are five related questions you could explore:

  1. Where would the point (−5,7)(-5, 7) be located on the coordinate plane?
  2. What are the signs of the coordinates in Quadrant II?
  3. How would you locate the point (0,−4)(0, -4) on the coordinate plane?
  4. What is the significance of the origin (0,0)(0, 0) on the coordinate plane?
  5. How do the axes divide the coordinate plane into four quadrants?

Tip: In Quadrant IV, the xx-coordinates are always positive and the yy-coordinates are always negative.

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Math Problem Analysis

Mathematical Concepts

Coordinate Geometry
Quadrants of the Coordinate Plane

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8

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