Okay, let's work through this step-by-step to find the distance between points G and H.
**Point G has the coordinates (-9, -12). This means the x-coordinate is -9 and the y-coordinate is -12. **
**Point H has the coordinates (-9, 6). This means the x-coordinate is -9 and the y-coordinate is 6. **
To find the distance between two points, we use the Distance Formula:
Distance = √( (x2 - x1)2 + (y2 - y1)2 )
Where (x1, y1) and (x2, y2) are the coordinates of the two points.
For points G and H:
**x1 = -9 (coordinate of G) and x2 = -9 (coordinate of H) → (x2 - x1) = 0 **
**y1 = -12 (coordinate of G) and y2 = 6 (coordinate of H) → (y2 - y1) = 18 **
So the Distance Formula becomes:
√(0)2 + (18)2 = √324 = 18
Therefore, the expression that represents the distance between points G and H is 18.
Let me know if any of these steps are unclear. I'm happy to explain them in a different way.