📚 Topic Summary
In math, especially when we're using coordinate planes, we often need to find the distance between two points. When we talk about the horizontal distance between two points in Quadrant 1 (where all x and y values are positive), we're really just looking at the difference in their x-coordinates. Think of it like measuring how far apart they are from left to right. To find it, simply subtract the smaller x-coordinate from the larger one!
For example, if you have two points, (2, 3) and (5, 3), the horizontal distance is $5 - 2 = 3$ units. Easy peasy! 🫛
🧮 Part A: Vocabulary
Match each term with its definition:
| Term |
Definition |
| 1. Coordinate Plane |
A. The horizontal axis on a coordinate plane. |
| 2. Quadrant 1 |
B. A flat surface formed by the intersection of a horizontal number line (x-axis) and a vertical number line (y-axis). |
| 3. X-coordinate |
C. The distance a point is from the y-axis. |
| 4. Y-coordinate |
D. The region where both x and y values are positive. |
| 5. Horizontal Distance |
E. The distance a point is from the x-axis. |
Match the term to the definition. Answers: 1-B, 2-D, 3-C, 4-E, 5 -A
✍️ Part B: Fill in the Blanks
The horizontal distance between two points on a coordinate plane is the difference in their ______ coordinates. To find this distance in Quadrant 1, you ______ the smaller x-coordinate from the ______ x-coordinate. The result is always a ______ number.
Answers: x, subtract, larger, positive
🤔 Part C: Critical Thinking
Imagine two points in Quadrant 1. One point has an x-coordinate of 8, and the horizontal distance between the two points is 5 units. What could be a possible x-coordinate for the other point? Explain your reasoning.