Question

Point M is located at (3, 7). If point M is translated 2 units to the left and 4 units down, what are the coordinates of M’?

a. (-1, 5)
b. (1, 3)
c. (5, 3)
d. (7, 5)

Answer 1

To find the new coordinates of point M' after a translation of 2 units to the left and 4 units down, we subtract 2 from the x-coordinate and 4 from the y-coordinate of the original point M (3, 7), resulting in the new coordinates (1, 3).

Step-by-step explanation:

The student's question involves translating a point on a Cartesian coordinate system. The point M is at coordinates (3, 7). A translation involves moving every point a certain distance in a specified direction. To translate a point, we add or subtract the translation amounts from the point's x (horizontal) and y (vertical) coordinates.

For point M to be translated 2 units to the left, we subtract 2 from the x-coordinate, and for 4 units down, we subtract 4 from the y-coordinate.

Therefore, M' after the translation is:

• x-coordinate: 3 - 2 = 1
• y-coordinate: 7 - 4 = 3

So, the new coordinates of M' are (1, 3).