The slope of the line which is perpendicular to the angular bisector of axes which makes obtuse angle is

The angular bisector of axes are $\mathrm{y}=\mathrm{x},\mathrm{y}=-\mathrm{x}$
In the above two lines, the slope of the line $\mathrm{y}=-\mathrm{x}$ is negative, it means inclination is obtuse,
The slope of the line of the perpendicular to the line  $\mathrm{y}=-\mathrm{x}$ is $\mathrm{m}=\boxed{1}$