What is the relationship between the coordinates of the two intersections of the image of the first-order function and the image of the inverse scale function?

What is the relationship between the coordinates of the two intersections of the image of the first-order function and the image of the inverse scale function?

Let the first-order function be y = K1X + B and the inverse proportion function be y = K2 / X
The abscissa is the intersection of the image of the first-order function and the image of the inverse scale function
k1x+b=k2/x
K1 x + bx-k2 = 0
There are X1 + x2 = - B / K1
x1*x2=-k2/k1
The relationship between the abscissa of two intersections,
The intersection of the image of a function and the image of an inverse scale function is the ordinate
（y-b)/k1=k2/y
Y-by-k1k2 = 0
We also have Y1 + y2 = B
y1*y2=-k1k2
The relationship between the ordinates of two intersections

It is known that the first-order function y = x 2 and the inverse scale function y = K / x, the images of both functions pass through the point P (a, 3)
Given that the linear function y = x 2 and the inverse scale function y = K / x, the images of the two functions pass through the point P (a, 3). (1) try to determine the expression of the inverse scale function;

Because these two functions pass through the point P (a, 3), we substitute the point P into the two functions respectively, and get: 3 = the square of a (1) and 3 = K (2) of a, then substitute Formula 1 into formula 2, and get k = plus or minus 3 times root sign 3, and the expression of inverse proportion function is y = plus or minus 3 times root sign 3 of X