To find the distance between the two points \((-6, 4)\) and \((3, 4)\), we can use the distance formula. However, since both points have the same y-coordinate (4), we can see that they lie on a horizontal line. Therefore, the distance between them is simply the difference in their x-coordinates.
Let's calculate this:
- The x-coordinate of the first point is \(-6\).
- The x-coordinate of the second point is \(3\).
Now, we can find the distance:
\[ \text{Distance} = \text{x-coordinate of second point} - \text{x-coordinate of first point} = 3 - (-6) = 3 + 6 = 9 \text{ units} \]
So, the distance between the points is 9 units.