Math Problem Statement

Identify the quadrant or axis that the following point lies on. If the point lies on an axis, specify which part (positive or negative) of which axis (x or y): (5, -1).

Solution

The question asks to identify the quadrant or axis for the point (5,1)(5, -1).

Let's break it down:

  • The first coordinate, 55, is positive, meaning the point is to the right of the origin along the x-axis.
  • The second coordinate, 1-1, is negative, meaning the point is below the origin along the y-axis.

This places the point in Quadrant IV, where xx is positive, and yy is negative.

So, the correct answer is Quadrant IV.

Would you like further details or explanations? Here are five related questions to deepen your understanding:

  1. How are the four quadrants defined in the coordinate plane?
  2. What happens when one or both coordinates are zero?
  3. What is the significance of positive and negative values on the x and y-axes?
  4. Can you identify points on the x-axis and y-axis?
  5. What are the coordinates of the origin?

Tip: Remember, the quadrants are numbered counterclockwise starting from the upper right.

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Math Problem Analysis

Mathematical Concepts

Coordinate Plane
Quadrants

Formulas

None (conceptual understanding of quadrants)

Theorems

N/A (quadrants are defined by axis placement)

Suitable Grade Level

Grades 6-8