Question

The endpoints of a segment are M(2,5) and N(8,-1). What are the new endpoints of it if it is translated with the rule (x,y) -> (x + 6, y - 3)?

a) M(8,2) and N(14,-4)
b) M(2,5) and N(8,-1)
c) M(3,4) and N(9,-2)
d) M(6,2) and N(12,-4)

Answer 1

To find the new endpoints of the segment after it is translated, add 6 to the x-coordinate and subtract 3 from the y-coordinate of each endpoint.

Step-by-step explanation:

endpoints of the segment after it is translated with the rule (x,y) -> (x + 6, y - 3), we need to add 6 to the x-coordinate of each endpoint and subtract 3 from the y-coordinate of each endpoint.

For the endpoint M(2,5), the new endpoint will be (2 + 6, 5 - 3) = (8, 2).

For the endpoint N(8,-1), the new endpoint will be (8 + 6, -1 - 3) = (14, -4).

So, the new endpoints of the segment are M(8,2) and N(14,-4).