https://file.aiquickdraw.com/mathbot/file/1726446167375lfdsc7p7.jpg

The coordinates of point K are (3-7) and the  

The question in the image asks to find the distance between two points \( K(3, -7) \) and \( L(10, -7) \).

Since the \( y \)-coordinates of both points are the same (\( y = -7 \)), the distance between the points is purely along the \( x \)-axis. This simplifies the problem to subtracting the \( x \)-coordinates:

\[
\text{Distance} = |10 - 3| = 7 \text{ units}.
\]

Thus, the distance between points \( K \) and \( L \) is **7 units**.

Would you like further explanation on this, or have any more questions?

Here are five relative questions that expand on this topic:
1. How would you calculate the distance between two points if both the \( x \)- and \( y \)-coordinates were different?
2. What is the formula for the distance between two points in a plane?
3. Can you explain why the distance between two points with the same \( y \)-coordinates is only along the \( x \)-axis?
4. How would you find the midpoint between points \( K \) and \( L \)?
5. How would the distance change if one or both coordinates had negative values?

**Tip:** For any two points, if one of the coordinates is the same, the distance between the points lies along the other axis, simplifying the distance calculation.

The coordinates of point K are (3, -7) and the coordinates of point L are (10, -7). What is the distance, in units, between the point K and point L?

This problem involves finding the distance between points K(3, -7) and L(10, -7) on the x-axis. Since the y-coordinates are the same, the calculation is simplified to subtracting the x-values. The problem is ideal for students in Grades 6-8 learning about the coordinate plane and distance calculation.

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