Question

A relation is plotted as a linear function on the coordinate plane starting at point a (0, 3) and ending at point B (2, 7) what is the rate of change for the linear function and what is its intial value

Answer 1

The rate of change is 2.

The initial value is 3.

Explanation:

The rate of change is the slope of the line, which you can calculate with the following formula:

`m=(y_2-y_1)/(x_2-x_1)`

Then:

`m=(7-3)/(2-0)=2`

Therefore, the rate of change is 2

The initial value is the value of y obtained when x=0.

As you can see in the given points, when x=0 the value of y is 3.

Therefore the initial value is 3.