Question 14542
In order to find the slope of a line perpendicular to another, you need to take the negative recipricol. In your case, you first need to transform it to y=mx+b form. You do that by isolating the y and solving. 
{{{5y=-x+6}}}
{{{y=(-1/5)x+6/5}}}
So, we wee that your slope is {{{-1/5x}}}. 
The negative recipricol is {{{5x}}}.
Then, all you do is plug in 2 for your x value and -2 for you y and solve for b.
{{{-2=5(2)+b}}}
{{{-2=10+b}}}
{{{-12=b}}}
The final equation should be 
{{{y=5x-12}}}
Hope this helps!