Imagine a map where points are placed on a grid. To find the horizontal distance between two points, you need to look at their x-coordinates. If the points are on the same horizontal line, simply subtract the smaller x-coordinate from the larger one. Remember, distance is always a positive value, so take the absolute value of the difference!
For example, if you have two points at (2, 3) and (5, 3), the horizontal distance is $|5 - 2| = 3$ units. This is because the y-coordinates are the same, allowing us to focus solely on the x-coordinates to find the length of the horizontal line connecting them.
Match the terms with their correct definitions:
| Term | Definition |
|---|---|
| 1. Coordinate Plane | A. The horizontal number line on a coordinate plane. |
| 2. X-coordinate | B. The distance a point is from the y-axis. |
| 3. Y-coordinate | C. The distance a point is from the x-axis. |
| 4. Horizontal Distance | D. A plane formed by two perpendicular number lines. |
| 5. X-axis | E. The distance between two points along a horizontal line. |
Match: 1-?, 2-?, 3-?, 4-?, 5-?
Complete the paragraph with the correct words:
To find the __________ distance between two points on a coordinate plane, focus on their __________. If the __________-coordinates are the same, subtract the smaller __________-coordinate from the larger one. Always ensure the distance is a __________ value.
Explain in your own words how you would find the horizontal distance between the points (-3, 5) and (7, 5) on a coordinate plane. Show your work.
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