Final answer:
The mathematical operation to perform on the points (4,7) and (9, -2) is not specified, however, if we were to calculate the slope between them, it would be -1.8.
Step-by-step explanation:
The question appears to be asking for a mathematical operation or analysis to be performed on two given points, (4,7) and (9, -2), which are coordinates in a two-dimensional Cartesian plane. However, the question itself does not specify what exact operation should be performed.
Possible operations could include finding the distance between the points, the midpoint, the slope of the line that they lie on, or the equation of the line. Without further context, it is not possible to provide a specific answer.
For instance, to calculate the slope of the line that passes through these points, we could use the formula:
slope (m) = (y2 - y1) / (x2 - x1)
Plugging in our points:
m = (-2 - 7) / (9 - 4) = -9 / 5 = -1.8
Therefore, the slope of the line that passes through (4,7) and (9, -2) would be -1.8.