Math Problem Statement

Find the x- and y-coordinates of the point E in the grid.

Solution

To determine the x- and y-coordinates of point E, let's refer to the grid shown in the image.

Looking at the grid:

  • The x-axis is horizontal, and the y-axis is vertical.
  • Point E appears to be located at the intersection of the grid lines.

Let's count the position of point E:

  • X-coordinate: Starting from the origin (0,0), E is positioned 1 unit to the right, so the x-coordinate is 1.
  • Y-coordinate: E is located 2 units below the origin, making the y-coordinate -2.

Thus, the coordinates of point E are (1, -2).

Would you like a detailed explanation or have any further questions?

Here are five additional questions to deepen your understanding:

  1. How can you find the coordinates of any point on a grid like this one?
  2. What is the significance of negative y-values in coordinate geometry?
  3. How does the placement of the origin affect the coordinates of points?
  4. How would the coordinates change if the axes were shifted?
  5. Can you explain how the signs of the coordinates determine the quadrant in which a point lies?

Tip: Always move from the origin (0,0) first horizontally (for the x-coordinate) and then vertically (for the y-coordinate) to find any point’s coordinates on a grid.

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Math Problem Analysis

Mathematical Concepts

Coordinate Geometry
Cartesian Plane
Coordinates

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8