Question

Predict what will happen to the coordinates of a point (x, y) as the point translates to produce point (x-a, y-b).

a) The x-coordinate will decrease by a, and the y-coordinate will decrease by b.
b) The x-coordinate will increase by a, and the y-coordinate will increase by b.
c) The x-coordinate will decrease by a, and the y-coordinate will increase by b.
d) The x-coordinate will increase by a, and the y-coordinate will decrease by b.

Answer 1

The correct answer is that the x-coordinate will decrease by a and the y-coordinate will decrease by b, which results in the point moving a units left and b units down in the coordinate system.

Step-by-step explanation:

Predicting what will happen to the coordinates of a point (x, y) as it translates to produce the point (x-a, y-b), the correct answer is that the x-coordinate will decrease by a, and the y-coordinate will decrease by b. This can be visualized as follows:

• If a point has an x-coordinate and we subtract a positive number a from it, the x-coordinate moves a units to the left.
• Similarly, if we subtract a positive number b from the y-coordinate, the y-coordinate moves b units downward.

Thus, the movement for the x-coordinate is horizontally to the left side of the coordinate system, and for the y-coordinate, it's vertically downward in the coordinate system.