Question 5462
This is correct.  You might want to write it in either standard form or slope-intercept form.


I like slope-intercept form, because of graphing calculators today.

{{{y+3= (2/3)*(x-6)}}}
{{{y+3 = (2/3)*x - (2/3)*6 }}}
{{{y+3 = (2/3)*x - 4}}}


Subtract 3 from each side:
{{{y+3 - 3= (2/3)*x - 4 - 3}}}
{{{y= (2/3)*x - 7}}}


A good way to check this is to substitute the value of x in the equation, and see if you get the y value.  

{{{y = (2/3)*6 -7}}}
{{{y = 4-7 = -3}}}, which checks!


R^2 at SCC