a linear function f models a relationship in which the dependent variable decreases 4 units for every 2 units the independent variable increases. the
value of the function at 0 is -2
identify the slope, y-intercept, and x-intercept of the graph

Part 1) The slope is

Part 2) The y-intercept is the point (0,-2)

Part 3) The x-intercept is the point (-1,0)

Step-by-step explanation:

step 1

Find the slope of the linear function

we know that

The dependent variable or output is the variable y

The independent variable or input is the variable x

we have that

The dependent variable decreases 4 units for every 2 units the independent variable increases

The slope m is

step 2

Find the y-intercept

we have the point (0,-2)

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

so

The y-intercept is the point (0,-2)

step 3

Find out the equation of the linear function f in slope intercept form

where

m is the slope

b is the y-coordinate of the y-intercept

we have

substitute

step 4

Find out the x-intercept

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

For f(x)=0

The x-intercept is the point (-1,0)

see the attached figure to better understand the problem