What is the common difference in the arithmetic sequence -3, -1, 1, 3, ...?

2

Step-by-step explanation:

The common difference in an arithmetic sequence is the difference between any two terms

So, you could start by doing -3 + d = -1

-3 + d = -1

-3 + d +3 = -1 +3

d = 3 -1

d = 2

Now test it with other terms

-1 + d = 1

Substitute

-1 +2 = 1

2 -1 = 1

1 = 1

It works!!!

If you want you can try it with 1 and 3

1 + d = 3

1 + 2 = 3

3 = 3

I hope this helps

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