Answer:
(x', y') = (x+a, y+b)
Step-by-step explanation:
x-coordinates increase the farther to the right you go. If you go "a" units to the right of where you were, the x-coordinate increases by "a".
Likewise, y-coordinates increase the farther up you go. If you go "b" units up from where you were, the y-coordinate increases by "b".
If "a" and "b" are the amounts a point (x, y) is translated to the right and up, respectively, then the new point (x', y') has coordinates ...
(x', y') = (x +a, y +b)
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"a" and "b" can be signed numbers. When either is negative, it corresponds to movement in the direction opposite to right or up, respectively.
