A line in the coordinate plane passes through the points(9, 3)and(6, 10). What are the rate of change and the initial value of the function modeled by the line?

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

answer: b

step-by-step explanation: