Answer:
We start with the point P(4,5) and this is translated to the point P'(a, b).
We want to find the component form of the vector associated with the translation.
For a general translation for a point: P = (p1, p2) to Q = (q1, q2) the components of the vector will be:
V = < (q1 - p1), (q2 - p2)>
Then, if the points are:
1) P(4, 5) and P'(-3, 7)
The vector is:
V = < (-3 - 4), (7 - 5) > = <-7, 2>
2) P(4, 5) and P'(-1, - 6)
The vector is:
V = < (-1 - 4), (-6 - 5)> = <-5, -11>
