Answer:
(i) (4, 0)
(ii) -2
Explanation:
y = 4 + 3x - x^2
(i)
At point A, y = 0
4 + 3x - x^2 = 0
x^2 - 3x - 4 = 0
(x - 4)(x + 1) = 0
x - 4 = 0 or x + 1 = 0
x = 4 or x = -1
The x-coordinate of point A is positive, so it is 4.
The coordinates of point A are (4, 0).
(ii)
y = mx + 8
We know point (4, 0) is on the line, so we substitute 4 for x and 0 for y and solve for m in the slope equation.
0 = m(4) + 8
4m = -8
m = -2