Math Problem Statement
Solution
The image shows a coordinate plane with four labeled points: A, B, C, and D. The task is to determine the coordinates of point D based on the given graph.
Step-by-step analysis:
- Point A is at (-15, 15) (observing from the grid).
- Point B is at (15, 15).
- Point C is at (15, -15).
- Point D is located in the lower-left quadrant, which indicates both the x and y values are negative.
Looking at the position of point D in the graph, it appears to be approximately at (-75, -100).
Thus, the correct answer for the coordinates of point D from the given options is:
(-75, -100).
Would you like a detailed explanation of how to read coordinates on the grid or any further clarifications?
Here are 5 relative questions to expand on this:
- What are the signs of coordinates in each quadrant of the coordinate plane?
- How do we calculate the distance between two points on a coordinate plane?
- How can you determine the slope of a line passing through two points?
- What is the equation of a line parallel to the x-axis?
- How would the graph change if the points were shifted up by 10 units?
Tip: When reading coordinates, always start from the origin (0,0) and first move along the x-axis, then along the y-axis!
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Math Problem Analysis
Mathematical Concepts
Coordinate Plane
Quadrants
Formulas
(x, y) coordinate system
Theorems
Signs of coordinates in quadrants
Suitable Grade Level
Grades 6-8