a line contains the points (2,5) and (4,7) translate this line up 4 units and to the Left 4 units what are the points after the translation
To translate the line up 4 units, you add 4 to the y-coordinate of each point.
(2, 5) → (2, 5 + 4) → (2, 9)
(4, 7) → (4, 7 + 4) → (4, 11)
To translate the line to the left 4 units, you subtract 4 from the x-coordinate of each point.
(2, 9) → (2 - 4, 9) → (-2, 9)
(4, 11) → (4 - 4, 11) → (0, 11)
Therefore, the points after the translation are (-2, 9) and (0, 11).