# Point P(−5, 2) is translated using the rule (x+3, y−1). What is the x-coordinate of P' ?

Sep 26, 2016

$P ' = \left(- 2 , 1\right)$

#### Explanation:

A translation moves a coordinate point in the x-y plane.

A translation $\left(\begin{matrix}x \\ y\end{matrix}\right)$

will move the point horizontally right/left , depending on the $\textcolor{red}{\text{sign}}$ of x. Right if positive and left if negative.

Similarly the point will be moved vertically up/down , depending on the $\textcolor{red}{\text{sign}}$ of y. Up if positive and down if negative.

Here the translation is $\left(\begin{matrix}x + 3 \\ y - 1\end{matrix}\right)$

$\Rightarrow P \left(- 5 , 2\right) \to P ' \left(- 5 + 3 , 2 - 1\right) \to P ' \left(- 2 , 1\right)$