Find the slope of the line at right by making a slope triangle.
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.