Finding the next terms of an arithmetic sequence with integers The first three terms of an arithmetic sequence are as follows. 10, 13, 16 Find the next two terms of this sequence. help​

19, 22

Step-by-step explanation:

Because this is an arithmetic sequence, we know there is a constant difference between each value.

To find that difference, lets take two consecutive values, (10 and 13) and subtract them.

13 - 10 = 3

We see the same number if we used

16 - 13 = 3

So the pattern here, is each number + 3.

16 + 3 = 19

19 + 3 = 22

22 + 3 = 25

etc.

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