Arelation 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 initial value?
select from the drop-down menus to correctly complete the statements.
the rate of change is
and the initial value is

Part 1) The rate of change is 2

Part 2) The initial value is 3

Step-by-step explanation:

we know that

The linear equation in slope intercept form is equal to

where

m is the slope or unit rate of the linear equation

b is the y-intercept

Remember that in a linear equation the rate of change is a constant and is equal to the slope and the initial value is equal to the y-intercept (value of y when the value of x is equal to zero)

step 1

Find the slope

we have the coordinates

A(0,3) and B(2,7)

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

substitute in the formula

therefore

The rate of change is 2

step 2

Find the y-intercept or initial value

Remember that the y-intercept is the value of y when the value of x is equal to zero

In this problem the y-intercept is given

The y-intercept is the point A(0,3)

so

therefore

The initial value is 3

2y+y=5

add 2y and y