Question

In the coordinate plane, the point x(- 3, 4) is translated to the point x' ✕ (2, 6) . Under the same translation, the points y(- 5, 2) and z(1, 1) are translated to y' and z', respectively. What are the coordinate of y' and z'?

Answer 1

After applying the translation that shifted point x to x', point y' is found at (0, 4), and point z' is found at (6, 3).

Step-by-step explanation:

In the coordinate plane, when a point is translated, it shifts by a specific distance in a particular direction. To find the coordinates of y' and z' after the translation that moved point x from (-3, 4) to x' at (2, 6), we need to determine the change in coordinates. The change in x-coordinate is 2 - (-3) = 5, and the change in y-coordinate is 6 - 4 = 2. So each point moves 5 units to the right and 2 units up.

Applying this translation to point y at (-5, 2):
y-coordinate: -5 + 5 = 0
y-coordinate: 2 + 2 = 4
Thus, y' is at (0, 4).

For point z at (1, 1):
z-coordinate: 1 + 5 = 6
z-coordinate: 1 + 2 = 3
Thus, z' is at (6, 3).