Math Problem Statement

Identify the coordinates of each point in the graph

Identify the coordinates of each point in the graph

Solution

Let's identify the coordinates of each of the blue points on the graph. We can observe the following points on the Cartesian plane:

  1. Top-left point:
    This point is located on the line x=2x = -2 and y=9y = 9. So, the coordinates are (2,9)(-2, 9).

  2. Top-right point:
    This point is located on the line x=4x = 4 and y=8y = 8. So, the coordinates are (4,8)(4, 8).

  3. Bottom-left point:
    This point is located on the line x=4x = -4 and y=2y = -2. So, the coordinates are (4,2)(-4, -2).

  4. Bottom-right point:
    This point is located on the line x=2x = 2 and y=10y = -10. So, the coordinates are (2,10)(2, -10).

So, the coordinates of the points are:

  • (2,9)(-2, 9)
  • (4,8)(4, 8)
  • (4,2)(-4, -2)
  • (2,10)(2, -10)

Would you like further details or explanations on this?

Here are 5 related questions to think about:

  1. What is the distance between the points (4,8)(4, 8) and (2,10)(2, -10)?
  2. How would you find the midpoint between two points on this graph?
  3. What would the slope of the line between points (2,9)(-2, 9) and (4,8)(4, 8) be?
  4. Can you derive an equation for the line passing through two of these points?
  5. How do you reflect a point across the x-axis or y-axis on the Cartesian plane?

Tip: When identifying coordinates on a graph, always move along the x-axis first, then along the y-axis to get the exact position.

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Math Problem Analysis

Mathematical Concepts

Coordinate Geometry
Cartesian Plane

Formulas

Coordinate system: (x, y)

Theorems

Distance formula
Midpoint formula

Suitable Grade Level

Grades 6-8