Math Problem Statement

Graph the points (2.5, 4) and (-3, -0.5) on the coordinate plane.

Solution

To graph the points (2.5, 4) and (-3, -0.5) on the coordinate plane, follow these steps:

  1. Locate (2.5, 4):

    • Go along the x-axis to 2.5 (between 2 and 3).
    • Move up to y = 4. This point should be placed halfway between 2 and 3 on the horizontal grid, at the height of 4 on the vertical axis.
  2. Locate (-3, -0.5):

    • Go along the x-axis to -3.
    • Move down slightly to -0.5 (halfway between -1 and 0 on the y-axis).

These placements should give the correct positions for each point on the grid.

Would you like further details, or do you have any questions about plotting these points?

Here are 5 follow-up questions for deeper understanding:

  1. What is the significance of positive vs. negative coordinates when plotting points?
  2. How can you find the midpoint between two points on a coordinate plane?
  3. What would the reflection of (2.5, 4) over the y-axis be?
  4. How can you determine the distance between (2.5, 4) and (-3, -0.5)?
  5. How does changing the x-coordinate while keeping the y-coordinate the same affect the point's position?

Tip: Always double-check the coordinate signs to ensure accurate plotting.

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Math Problem Analysis

Mathematical Concepts

Coordinate Plane
Plotting Points

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8