Math Help - Analytic geometry help?

1. Analytic geometry help?

Question:
For the given equation,find it's new equation if the origin is translated to the new origin as indicated.
$3x+y-5=0 ; O'(2,3)$

Attempt:
$x=x'+2$
$y=y'+3$
$3(x'+2)+(y'+3)-5=0$
$3x'+6+y'+3-5=0$
$3x'+y'=-4$

Am I correct?

thank you

2. Originally Posted by mj.alawami
Question:
For the given equation,find it's new equation if the origin is translated to the new origin as indicated.
$3x+y-5=0 ; O'(2,3)$

Attempt:
$x=x'+2$
$y=y'+3$
$3(x'+2)+(y'+3)-5=0$
$3x'+6+y'+3-5=0$
$3x'+y'=-4$

Am I correct?

thank you
yup, looks good