Answer:
Average rate of change is -7/3 and the initial value is 24
Step-by-step explanation:
The rate of change is simply the slope of the line connecting the points
mathematically, that would be;
m = y2-y1/x2-x1
m = (10-3)/(6-9) = -7/3
Let us get the complete equation;
The general equation form is;
y = mx + b
where m is slope and b is y-intercept
y = -7x/3 + b
To get b, we simply insert one of the points
Let us use (9,3)
We insert x = 9 and y = 3
So we have;
3 = -21 + b
b = 3 + 21
b = 24
So the complete equation is;
y = -7x/3 + 24
The initial value is when x = 0
If x = 0, y will be 24
