Let the linear L equation be: x/a+y/b= 1 (intercept formula).
∵
The straight line passes through point P(2, 1).
∴
2/a+ 1/b= 1。
∴
ab=a+2b。
According to the mean inequality formula (x+y≧2√xy), if and only if x=y, take the equal sign.
), available:
∴
ab=a+2b≧2*√(2ab)。
∴(ab)≧8ab.
∵ab≠0,
∴ab≧8.
∴⊿aob∴⊿ Minimum area
=( 1/2)ab
=4.
At this time a=2b,
That is ab=2b=8.
∴
a=4,
b=2。
∴ The equation of the straight line L is: x/4+y/2= 1.