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: )

                                    (Cancel common terms)              (Add 1 to each side)

                          (Apply additive inverse property: )

                         (Apply additive identity property: )

                                 (Add: )

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