Question:

For the given equation,find it's new equation if the origin is translated to the new origin as indicated.

$\displaystyle 3x+y-5=0 ; O'(2,3)$

Attempt:

$\displaystyle x=x'+2 $

$\displaystyle y=y'+3 $

$\displaystyle 3(x'+2)+(y'+3)-5=0 $

$\displaystyle 3x'+6+y'+3-5=0 $

$\displaystyle 3x'+y'=-4 $

Am I correct?

thank you