Answer:
Undefined
Explanation:
You have two points: (-12, 15) and (-12, -12).
To find the slope, think about it as the "rise" (vertical change) over the "run" (horizontal change).
Calculate the vertical change by subtracting the y-coordinates of the two points: 15 - (-12) = 15 + 12 = 27.
Calculate the horizontal change by subtracting the x-coordinates of the two points: -12 - (-12) = -12 + 12 = 0.
Now, the slope is the vertical change (27) divided by the horizontal change (0).
Division by 0 is undefined in mathematics, so the slope is undefined.
In simpler terms, since there is no horizontal change (the x-coordinates are the same), the line is vertical, and its slope is undefined.