How do you find the explicit rule of the sequence
7, 3, -1, -5, -9

f(n) = 7 - 4(x - 1)

Step-by-step explanation:

In order to find the answer, you first have to identify the formula which is f(n) = b + m(x - 1). You have to fill in m and b. In order to fill in b, you have to find the first number in the sequence which is 7. In order to find m, you have to find how much each number increases by. So, you have to see how much is added between 7 and 3, and 3 to -1 and so on. 3 -7 and -1 - 3 = -4 so, the common difference or m is -4. So, the final rule would be f(1) = 7 - 4(x - 1).

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is