(1).k & gt0. At this time, x=-3, y= 1, x= 1, y=9,
-3k+b= 1,k+b=9,
The solution is k=2, b=7,
kb= 14。
(2).k & lt0. At this time, x=-3, y=9, x= 1, y= 1,
-3k+b=9,k+b= 1,
The solution is k =-2 and b = 3.
kb=-6。
If you don't understand, please take a look at this:
There are two situations about this problem.
① When k > 0, the function value increases with the increase of independent variables, so we can get two points (-3, 1) (1, 9) respectively.
Substitute these two points respectively: k=2 b=7 ∴kb= 14.
② When k < 0, the function value decreases with the increase of independent variables, so we can get two points (-3,9) (1,1) respectively.
Substitute these two points respectively: k=-2 b=3 ∴kb=-6.