\"\"

\

The linear equation is \"\";\"\".

\

Find slope.

\

\"\"                                (Slope-intercept form)

\

\"\"                               (Original equation)

\

\"\"               (Add \"\" to each side )

\

\"\"                               (Apply additive inverse property : \"\")

\

\"\"                    (Subtract \"\" from each side)

\

\"\"                               (Apply additive inverse property : \"\")

\

\"\"                        (Divide each side by \"\")

\

\"\"                             (Cancel common terms)

\

Compare the equation with slope-intercept form and find the slope of the line.

\

Slope of the line \"\".

\

\"\"

\

Find the perpendicular line equation.

\

The slope of the perpendicular line is negative reciprocal \"\".

\

\"\"                  (Point-slope form)

\

\"\"          (Substitute \"\" and \"\")

\

\"\"               (Simplify)

\

\"\"                  (Distributive property: \"\")

\

\"\"      (Add \"\" to each side)

\

\"\"                       (Apply additive inverse property:\"\")

\

Therefore, the slope-intercept form of perpendicular line equation is \"\".

\

\

\"\"

\

The slope-intercept form of perpendicular line equation is \"\".