Final answer:
The point (2, 3) would be transformed to (3, 18) according to the algebraic rule given.
Step-by-step explanation:
The algebraic rule to take the point (x, y) to the point (x', y') can be written as:
x' = 4 + x - y
y' = 4 + 2x + 3y
For example, if we have the point (2, 3), substituting the values into the algebraic rule:
x' = 4 + 2 - 3 = 3
y' = 4 + (2*2) + (3*3) = 18
Therefore, the point (2, 3) would be transformed to (3, 18) according to the algebraic rule given.