Answer:

Step-by-step explanation:
Given
The attached graph
Required
Determine the line equation
First, list out two points from the graph


Next, calculate the slope (m)




The equation in slope intercept form is:

This gives:


Open bracket

We have that
<span>y = -x</span>²<span>+8x
we know that
when the ball hint the ground is the x-intercepts of the graph
the x-intercepts is for y=0
so
0=-x</span>²+8x--------> x²-8x=0----> x*(x-8)=0
the solution is
x=0
x=8
the x intercepts are the points (0,0) and (8,0)
the distance between the x intercepts points =[8-0]-----> 8 ft
the answer is
8 ft
see the attached figure
Well you did not say how many miles you are from Michigan