Math Problem Statement

Which coordinate grid shows the points (1, 2), (2, 4), and (3, 1) graphed correctly?

Solution

To determine which coordinate grid correctly plots the points (1, 2), (2, 4), and (3, 1), let's analyze each option:

  1. Point (1, 2) means that at x=1x = 1, y=2y = 2.
  2. Point (2, 4) means that at x=2x = 2, y=4y = 4.
  3. Point (3, 1) means that at x=3x = 3, y=1y = 1.

Now let's check each grid:

  • Grid A:

    • (1, 2): Correct.
    • (2, 4): Correct.
    • (3, 1): Correct.
    • Conclusion: Grid A is correct.
  • Grid B:

    • (1, 2): Correct.
    • (2, 4): Correct.
    • (3, 1): Incorrect. This point is plotted at (3,2)(3, 2) instead of (3,1)(3, 1).
    • Conclusion: Grid B is incorrect.
  • Grid C:

    • (1, 2): Incorrect. This point is plotted at (1,1)(1, 1).
    • Conclusion: Grid C is incorrect.
  • Grid D:

    • (1, 2): Incorrect. This point is plotted at (1,3)(1, 3).
    • Conclusion: Grid D is incorrect.

Final Answer: Grid A correctly shows the points (1, 2), (2, 4), and (3, 1).

Let me know if you'd like further clarification or more details.


Here are 5 related questions you might find interesting:

  1. How do you plot negative coordinates on a graph?
  2. What are the quadrants of a Cartesian plane?
  3. How do you determine the slope of a line given two points?
  4. How can you check if three points are collinear?
  5. How do you reflect a point over the x-axis and y-axis?

Tip: When plotting points, always ensure the x-coordinate comes first, followed by the y-coordinate.

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Math Problem Analysis

Mathematical Concepts

Coordinate Geometry
Plotting Points

Formulas

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Theorems

Coordinate System

Suitable Grade Level

Grades 5-7