Final answer:
After the point (-7, 10) undergoes a translation of 4 units left and 3 units down, the new coordinates of the point are (-11, 7).
Step-by-step explanation:
The coordinates of a point after it undergoes a translation will change based on the direction and magnitude of that translation. In this case, the point (-7, 10) is translated 4 units to the left and 3 units down. To find the new coordinates, we subtract 4 from the x-coordinate (since moving left on the Cartesian plane means decreasing the x-value) and subtract 3 from the y-coordinate (since moving down means decreasing the y-value).
Original coordinates: (-7, 10)
Translated coordinates: (-7 - 4, 10 - 3) = (-11, 7)
Therefore, the coordinates of the new point after the translation are (-11, 7).