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

and b is the y-intercept.

Find the slope of the line .

            (Add 2x to each side)

                         (Apply additive inverse property: )

                              (Apply additive identity property: )

                        (Divide each side by 3)

                              (Cancel common terms)

Slope of the line is .

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 equation is  .Substitute (x₁, y₁) = ( 4, 7) and in the point-slope form equation.

                   (Substitute (x₁, y₁) and m values)

            (Apply distributive property: )

                     (Multiply: )           (Add 7 to each side)

                (Apply additive inverse property: )

                     (Apply additive identity property: )

                         (Add: )                                                      The slope-intercept form line equation is .