Final answer:
To translate a point, add the horizontal translation to the x-coordinate and the vertical translation to the y-coordinate, which results in point A (1,0) being transformed to (7, -4) after translating 6 units right and 4 units down.
Step-by-step explanation:
To find the coordinates of a point after a transformation, you can apply the translation to the original coordinates directly. You mentioned that the transformation is to translate 6 units right and 4 units down. Starting from point A (1,0), translating 6 units right means adding 6 to the x-coordinate. Translating 4 units down means subtracting 4 from the y-coordinate. Therefore, the new coordinates of the point after the transformation would be (1+6, 0-4), which simplifies to (7, -4).