Use the y = mx + b form of a line to start writing your equation.
Use the opposite reciprocal of the slope you found in order to make the line perpendicular to the one graphed at right.

y = −1x + b

Substitute the given point into the equation to solve for b.

2 = −1(6) + b
2 = −6 + b
8 = b

Substitute y and x back into their original places in the equation, and you have your equation for a line perpendicular to the one that is graphed at right.