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

Answer 1

To translate a point, you adjust its coordinates according to the specified movement.

For a translation up by 4 units, you add 4 to the y-coordinate. For a translation to the left by 4 units, you subtract 4 from the x-coordinate.

Let's apply these translations to the given points:

1. For the point (2, 5):

   • Translate up 4 units: \(5 + 4 = 9\).
   • Translate left 4 units: \(2 - 4 = -2\).
   • New coordinates: \((-2, 9)\).

2. For the point (4, 7):

   • Translate up 4 units: \(7 + 4 = 11\).
   • Translate left 4 units: \(4 - 4 = 0\).
   • New coordinates: \((0, 11)\).

After the translations, the new points are:

• \((-2, 9)\)
• \((0, 11)\)