Question

A line contains the points (−4, 2)
and (−4, 6)
. The line is translated 3 units to the right and 2 units down. What are the new points on the translated line?(

Answer 1

Translation vector = (3, −2). Add to each point:

(-4, 2) → (-4+3, 2−2) = (−1, 0)
(-4, 6) → (-4+3, 6−2) = (−1, 4)

So the new points are (−1, 0) and (−1, 4).