The line equation in slope-intercept form is , where m is the slope and b is the y-intercept.

If two lines are perpendicular, the slope () of one line is opposite reciprocal

of the second line slope (). It can be represented as, .

The slope of the line is .

So the line perpendicular to above equation has the slope .  

Substitute and in the point-slope form equation.

                    (Substitute (x₁, y₁) and m values)

                         (Product of two same signs is positive)

                     (Apply distributive property: )

                                   (Simplify)                 (Subtract 3 from each side)

                            (Apply additive inverse property: )

                           (Apply additive identity property: )

                                 (Subtract: )

The required slope-intercept form of the line equation is .