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 1.

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) \ \

The slope-intercept form line equation is .