The length of portion of line x+y−2=0 intercepted between the axes is

The length of the portion of the line xa+yb=1 intercepted between the axes is distance between the two points a,0  and  0,bRewrite the equation  x+y−2=0  as  x2+y2=1Hence, the length of the portion of the line intercepted between the axes is distance between the points 2,0 and  0,2 l=22+22=8=22Therefore, the length of the portion of the line x+y−2=0 intercepted between the axes is 22 units