Answer:
Part a) The equation of the line in point slope form is
Part b) The equation in slope intercept form is
Part c) The setup fee is $25
Step-by-step explanation:
Part a) write an equation in point slope form
Let
x ------> the number of months of service
y -----> the total cost
we know that
The equation of the line in point slope form is
where
m is the slope
(x1,y1) is a point that lie on the line
In this problem we have that the cost of $39.95 per month is equal to the rate or slope of the linear equation
we have that the point (6,264.70) is a solution of the linear equation
substitute the given values
----> equation in point slope form
Part b) write the equation in slope intercept form
The equation of the line on slope intercept form is
where
m is the slope
b is the y-coordinate of the y-intercept
we have
Isolate the variable y
Distribute right side
Adds 264.70 both sides
Part c) what is the setup fee?
The setup fee is the y-intercept of the linear equation
The y-intercept is the value of y when the value of x is equal to zero
In this problem, the y-intercept is the total cost when the number of months of service is equal to zero (the cost is equal to the setup fee)
For x=0
The setup fee is $25