Math Problem Statement
Which of the following could be the coordinates of point B on the graph?
Solution
To determine the correct coordinates of point B from the options provided, let's analyze the graph.
- The graph is marked in units of 10, with the x-axis and y-axis labeled. We see four points marked: A, B, C, and D. Point B is located in the top-right quadrant (first quadrant).
- The coordinates of point B should have both positive x and y values, and both should be higher than 50, since B is positioned near the top-right corner of the graph.
Let’s look at the options:
- (50, 53)
- (56.1, 48)
- (53, 53)
- (55, 50)
By visually inspecting the graph:
- Point B seems to be closer to (50, 53) or (53, 53), since it is farther along both the x and y axes.
- Comparing these options, point B is slightly higher and farther right than (50, 53), so the best estimate would be (53, 53).
Thus, the correct answer is (53, 53).
Would you like a more detailed explanation or further questions?
Here are 5 related questions to extend your understanding:
- What are the coordinates of point A based on the graph?
- How can you calculate distances between points in a coordinate plane?
- How can you use slope to determine the steepness between two points?
- What does it mean for a point to be in the first quadrant?
- How would you find the midpoint between two points on the graph?
Tip: When analyzing graphs, count the grid lines and use them to estimate precise coordinates!
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Math Problem Analysis
Mathematical Concepts
Coordinate Geometry
Graphing Points
Formulas
Distance Formula (optional)
Estimating coordinates from a grid
Theorems
Understanding quadrants and positive coordinates
Suitable Grade Level
Grades 6-8