Who can help me with this problem It is known that if the inverse scale function of points a (4, m) and B (- 1, n) is y = 8 / X on the image, if point D is on the Y axis and Da = dB, (1) find the coordinates of two points a and B; (2) find the coordinates of point D emergency

Who can help me with this problem It is known that if the inverse scale function of points a (4, m) and B (- 1, n) is y = 8 / X on the image, if point D is on the Y axis and Da = dB, (1) find the coordinates of two points a and B; (2) find the coordinates of point D emergency

(1) If the point is on the function image, M = 8 / 4 = 2, n = 8 / (- 1) = - 8
Then a (4,2) B (- 1, - 8)
(2) Let D (0, y) and Da = dB
Then Da & sup2; = DB & sup2;
So 4 & sup2; + (2-y) & sup2; = 1 + (y + 8) & sup2;
The solution is y = - 9 / 4
So D (0, - 9 / 4)