Question

I will mark Brainliest and 5 s.

Answer 1

Answer:

Part 1) The rate of change of the linear function is $\frac{1}{3}$

Part 2) The initial value is -4

Step-by-step explanation:

Part 1) Find the rate of change

we know that

The rate of change of the linear function is the same that the slope of the linear function

To determine the slope we need two points

Looking at the graph

take the points (0,-4) and (3,-3)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{-3+4}{3-0}$

$m=\frac{1}{3}$

therefore

The rate of change of the linear function is $\frac{1}{3}$

Part 2) Find the initial value

we know that

The initial value or y-intercept is the value of y when the value of x is equal to zero

Looking at the graph

when the value of x is equal to zero

The value of y is equal to -4

so

The y-intercept is the point (0,-4)

therefore

The initial value is -4