Answer:
A = (0,4)
B = (5,9)
Step-by-step explanation:
y=-x²+6x+4
So c=4
=> A = (0,4)
find the equation of the straight line with the 2 points you have:
(0,4) and (2,6)
put them in y=ax+b and find a & b
[tex]4 = a \times 0 + b = \\ 6 = a \times 2 + b[/tex]
So b=4 & a=1 => y=x+4
Put the equation of line and parabola equal:
[tex]y = x + 4 \\ y = - {x}^{2} + 6x + 4 \\ \\ x + 4 = - {x}^{2} + 6x + 4 \\ {x}^{2} - 5x = 0 \\ x(x - 5) = 0[/tex]
So x=0 or x=5
We know x=0 is where A located on
so B is located on x=5
y=x+4
put x=5
y=9
Finally:
A = (0,4)
B = (5,9)
