Final answer:
To find the coordinates of point K' after the transformation, multiply both the x and y values of the original point K by 4. Hence, the coordinates of point K' are (16, 20).
Step-by-step explanation:
Nikki drew side KM on a coordinate plane, with Point K located at (4,5) and point M located at (2,-3). To find the coordinates of point K' after the transformation described by (x,y) → (4x,4y), we apply the transformation to the coordinates of K. We multiply both the x and y values of point K by 4 to get the new coordinates.
Therefore, point K' will be at (4*4, 4*5), which simplifies to (16, 20).