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:

  1. What are the coordinates of point A based on the graph?
  2. How can you calculate distances between points in a coordinate plane?
  3. How can you use slope to determine the steepness between two points?
  4. What does it mean for a point to be in the first quadrant?
  5. 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