Hi friends can someone explain how i would find the slope and y-intercept with this equation? x - y - 3 = 0

You need to rewrite the given equation into the standard form of y = mx +b, where m is the slope and b is the y-intercept.

x -y -3 =0

First add 3 to each side:

x-y = 3

Now subtract x from each side:

-y = 3-x

Rewrite the equation to get x in front of the 3:

-y = -x +3

Multiply both sides both the equation by -1:

y = x -3

Since x is by itself, the slope would be 1.

The y-intercept is -3

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

the answer is 8/21

hope this