The line equation in slope-intercept form is , where m is the slope and b is the y-intercept.

First find the y-intercept value.

                         (Substitute for m)

                   (Substitute 2 and for x, y)

                         (Multiply: )

                         (Divide: )

Apply addition property of equality: If a = b than a + c = b + c.

     (Add to each side)

Apply commutative property of addition: .

                     (Apply Additive inverse property: )

                            (Apply Additive identity property: )           

                                     (Add: )

                                       (Divide: )

Substitute for m and 2 for b in the Slope-intercept form equation.

The line equation in slope-intercept form is .