Y = mx +b whre m is the slope and b is the y-intercept.
We have the slope 3/4 so put that instead of m
y = 3/4x + b
Now to find the y-intercept (b), plug the ordered pair in and solve for b.
-4 = 3/4 * 5 + b
-4 = 15/4 + b
-31/4 + b
So y = 3/4x - 31/4
Answer:
<u>There are 17 terms in the sequence</u>
Step-by-step explanation:
<u>Arithmetic Sequence
</u>
An arithmetic sequence is a list of numbers with a definite pattern by which each term is calculated by adding or subtracting a constant number called common difference to the previous term. If n is the number of the term, then:

Where an is the nth term, a1 is the first term, and r is the common difference.
In the problem at hand, we are given the first term a1=13, the last term an=-23, and the common difference r=-2 1/4. Let's solve the equation for n:

We need to express r as an improper or proper fraction:

Substituting:



n=17
There are 17 terms in the sequence