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

First find the slope of the line.

If two lines are parallel, their slopes must be equal.

The line parallel to y = x+5 has the same slope. Compare the equation with slope-intercept form and find the slope of the line.

Slope of the line (m) = 1.

Substitute   = (2, 3) and m = 1 in the point-slope form equation.

             (Substitute  )

          (Distributive property: )

                   (Multiply:  )

       (Add 3 to each side)

             (Additive inverse property:  )

                    (Additive indentity property:  )

                          (Add:  )

The slope-intercept form line equation is .