You can
put this solution on YOUR website!I have written several Lessons on this site on Linera algebra. They explain this type of question for you.
If your line is perpendicular to the quoted equation, then their 2 gradients (m and n) will satisfy mn=-1.
So, do the following:
1. find the gradient of the quoted line.
2. Find the gradient of your line using mn=-1.
3. put that value into y=mx+c.
4. Find the value of c by also putting into the equation, the point you have been given (-3,8).
jon.