Asquare with side lengths of 4 units is translated on the coordinate plane. one vertex of the image is at (2, 1). which ordered pair could represent another vertex of the image? (0, –1) (2, 6) (4, 0) (6, 1)

It says that's 4 units distant from the another vertex. So, if a square is formed by 4 equal sides and 4 right angles, then you just have to add 4 units on x or y.

-> (2, 1) -> + 4 units on X
-> = (6, 1)
or
-> (2, 1) -> +4 units on Y
-> = (2, 5)

(2, 5) isn't an answer so the unique possible answer is (6, 1)

(6, 1)

I’m going to infer you said parallel.solve for yy= -1/2x+7/4lines that are parallel have the same slope, different y intercept.so we know m is -1/2then from there solve for y intercept.