The line equation in slope-intercept form is , where m is the slope

and b is the y-intercept.

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

Slope of the line .

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

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

So, slope of the line perpendicular to given line is 

Substitute = and m =  in the point-slope form equation.

                   (Substitute  )

                         (Product of two same signs is positive)

                (Apply distributive property: )

                        (Multiply:  )

                          (Divide:  )                (Subtract  2 from each side)

                     (Apply additive inverse property:  )

                           (Apply additive indentity property:  )

                                   (Subtract:  )

The slope-intercept form line equation is .