Question

A point travels east 3 spaces and south 8 spaces. Write the description in algebraic form.

a) The point's position can be described as (x + 3, y - 8).
b) The point's position can be described as (x - 3, y + 8).

Answer 1

The point's new position after moving east and south is algebraically represented as (x + 3, y - 8), indicating a three-unit increase in the east-west coordinate and an eight-unit decrease in the north-south coordinate.

Step-by-step explanation:

When we describe a point moving east and then south, we can think of this in terms of changes in coordinates on a cartesian plane. Specifically, moving east corresponds to increasing the x-coordinate, and moving south corresponds to decreasing the y-coordinate.

The algebraic form to describe the point's new position after moving 3 spaces east and 8 spaces south would be (x + 3, y - 8). This indicates that to the original x-coordinate (representing the east-west position), we add 3 units for the movement to the east, and from the original y-coordinate, we subtract 8 units for the movement to the south.