Math Problem Statement

A towel station is being added at (2, 3). Which picture shows the correctly plotted point, T?

Solution

The problem asks to identify the correct plot of the point T(2,3)T(2, 3) from the three options provided. Let us analyze the options:

Coordinates of the point T(2,3)T(2, 3):

  • The x-coordinate is 22: Move 2 units to the right from the origin on the x-axis.
  • The y-coordinate is 33: Move 3 units up from the x-axis.

This places TT in the first quadrant (top-right), at the intersection of x=2x = 2 and y=3y = 3.

Analysis of the options:

  1. Option 1: The point marked is incorrectly located at x=2,y=4x = 2, y = 4 (too high).
  2. Option 2: The point marked is x=2,y=4x = 2, y = -4 (incorrect quadrant and below the x-axis).
  3. Option 3: The point is correctly located at x=2,y=3x = 2, y = 3.

Conclusion:

The correct answer is Option 3.

Would you like further clarification or help with other problems?

Here are 5 related questions to explore this topic further:

  1. What are the steps to plot a point given its coordinates?
  2. How can you identify which quadrant a point belongs to?
  3. Why is the order of (x,y)(x, y) coordinates important in plotting?
  4. How do positive and negative coordinates affect the placement of a point?
  5. Can you find the distance of T(2,3)T(2, 3) from the origin using the distance formula?

Tip: Always verify both the x- and y-coordinates before concluding the placement of a point.

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Math Problem Analysis

Mathematical Concepts

Coordinate Geometry
Plotting Points on a Cartesian Plane

Formulas

Identification of coordinates (x, y)

Theorems

Quadrant determination based on signs of x and y

Suitable Grade Level

Grade 6-8