Question

What is the image of point (5, 7) under the translation (x - 6, y + 1)?

Answer 1

The general rule for a translation is:

`P(x,y)\rightarrow P^(\prime)(x+a,y+b)`

In the given point (5,7), the x coordinate decrease by 6 and y coordinate increrase by 1:

`\begin{gathered} \P(5,7)\rightarrow P^(\prime)(5-6,7+1) \\ \P(5,7)\rightarrow P^(\prime)(-1,8) \end{gathered}`Then the image of the given point is (-1,8)