Question

Starting at (1,3), we travel 4 units left and 7 units south. What are your new coordinates?

a. (3, -4)

b. (-3, -4)

c. (-3, 4)

d. (3, 4)

Answer 1

After moving 4 units left (negative x-direction) and 7 units south (negative y-direction) from the initial coordinates (1,3), the new coordinates are (-3, -4).

Step-by-step explanation:

The student's question involves finding new coordinates after moving from an initial point on the Cartesian plane. Starting at the point (1,3), moving 4 units to the left corresponds to a horizontal shift in the negative x-direction, and moving 7 units south corresponds to a vertical shift in the negative y-direction.

To find the new x-coordinate, we subtract 4 from the initial x-coordinate:
1 - 4 = -3.

To find the new y-coordinate, we subtract 7 from the initial y-coordinate:
3 - 7 = -4.

Therefore, the new coordinates after the movement are (-3, -4).