Math Problem Statement

What are the coordinates of the point plotted on the graph shown?

Solution

The graph in the image shows a point plotted on the Cartesian plane. The point is located at the coordinates (5,0)(-5, 0), which corresponds to a position on the x-axis.

  • The x-coordinate is 5-5, which means the point is 5 units to the left of the origin.
  • The y-coordinate is 00, indicating that the point lies directly on the x-axis.

Would you like more details on how to interpret such graphs or about Cartesian coordinates?

Here are 5 related questions for further exploration:

  1. What does it mean when a point lies on the x-axis or y-axis?
  2. How can we find the distance between two points on a Cartesian plane?
  3. What is the significance of the origin (0,0)(0, 0) in the coordinate system?
  4. How do we determine the slope between two points on a graph?
  5. What are the different quadrants of the Cartesian plane, and what do their signs represent?

Tip: When the y-coordinate is 0, the point lies on the x-axis, regardless of the x-value!

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Math Problem Analysis

Mathematical Concepts

Cartesian Coordinates
Coordinate Geometry

Formulas

Distance Formula: d = √((x2 - x1)^2 + (y2 - y1)^2)
Midpoint Formula: M = ((x1 + x2)/2, (y1 + y2)/2)

Theorems

Theorem of Coordinates: A point on the x-axis has a y-coordinate of 0.
Theorem of Distance: The distance between two points can be calculated using the distance formula.

Suitable Grade Level

Grades 6-8