Math Problem Statement
Solution
The graph in the image shows a point plotted on the Cartesian plane. The point is located at the coordinates , which corresponds to a position on the x-axis.
- The x-coordinate is , which means the point is 5 units to the left of the origin.
- The y-coordinate is , 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:
- What does it mean when a point lies on the x-axis or y-axis?
- How can we find the distance between two points on a Cartesian plane?
- What is the significance of the origin in the coordinate system?
- How do we determine the slope between two points on a graph?
- 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
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