Question

Which is a rule that describes the translation of a point from 4, -8 to 7, -10

(x, y) > (x + 3, y - 2)
(x, y) > (x + 3, y + 2)
(x, y) > x - 3, y - 2
(x, y) > (x - 3, y + 2)

Answer 1

first choice: (x, y) ------> (x + 3, y - 2)

Explanation:

The x-coordinate started as 4. Then it became 7. To change from 4 to 7, you add 3. The rule for x is to add 3.

The y-coordinate started as -8. Then it became -10. To go from -8 to -10, you subtract 2. The rule for y is to subtract 2.

Look at the choices, and pick the one that adds 3 to x and subtract 2 from y.

The answer is the first choice: (x, y) ------> (x + 3, y - 2)

Answer 2

`\large\boxed{(x,\ y)\to (x+3,\ y-2)}`

Explanation:

`(4,\ -8)\to(7,\ -10)\\\\4\to7\Rightarrow4+3=7\\\\-8\to-10\Rightarrow-8-2=-10\\\\\text{Conclusion}\\\\(x,\ y)\to (x+3,\ y-2)`