The point is and line equation is .

The above equation compare with slope-intercept form

y = mx + b, where m is the slope and b is the y-intercept.

Slope is

If two lines are perpendicular their slopes are .

                      (Substitute )

              (Multiply by the reciprocal)

                               (Product of two same signs is positive)

Apply point-slope form of the line equation is , where

are the coordinates of a point on the line and m is the slope of a line.

   (Substitute )

                (Product of two same signs is positive)

Apply distributive property: .

         (Subtract 3 from each side)

                              (Simplify)

The slope-intercept form of the line equation is .