A translation is a slide across the coordinate plane.
Step-by-step explanation:
When translating a figure across the coordinate plane shifting to the left or right affects the x-coordinate and shifting up or down affects the y-coordinate.
Shifting a units to the right means that we would have moved x in the positive direction on the x-axis while moving b units down means that we would move y in the negative direction on the y-axis. (x+a, y-b)