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  in the point-slope form equation.

                 (Substitute  )

                        (Product of two same signs is positive)

                     (Apply distributive property: )

                            (Multiply:  )               (Add 1 to each side)

                     (Apply additive inverse property: )

                           (Apply additive indentity property:  )

                                 (Add:  )

The slope-intercept form line equation is .