To find the image point of the point \((4, 8)\) after a translation of 1 unit to the right and 5 units up, we can apply the translation directly to the coordinates.
-
Translation right 1 unit: This means we add 1 to the x-coordinate.
- New x-coordinate: \(4 + 1 = 5\)
-
Translation up 5 units: This means we add 5 to the y-coordinate.
- New y-coordinate: \(8 + 5 = 13\)
Now, we combine the new coordinates to form the image point:
\[ (5, 13) \]
Thus, the image point after the translation is \((5, 13)\).