The given line is .

Above line is slope - intercept form .

So, given line has a slope of() = 0.

So, a line perpendicular to it has a slope of  .

Because you know the slope and a point on the line,

Use point - slope form to write an equation of the line.

Let =   and slope() = .

(Substitute 2 for , 6 for and =)

Rewrite in slope - intercept form .

      (Product of two same signs is positive)

Apply multiplication property of equality:If a = b then a c = b c.

(Multiply each side by 0)

       (Cancel common terms)

                  (Apply zero product property: )

               (Apply distributive property: )

                       (Apply multiplicative identity property: )

Apply subtraction property of equality:If a = b then a c = b c.

            (Subtract 6 from to each side)

                  (Apply additive inverse property: )

                          (Apply additive identity property: , )

Check:

To check the solution substitute = in .

The equation satisfies the condition.

So,The equation of the line is  .

The equation of the line is  .