Answer:
y=2/3+4
Step-by-step explanation:
the formula is y=mx+b. b is 4 and m is your slope.
(-3/4m) -(1/2)=2+(1/4m)
-(1/2)=2+m
m= -3/2
<h2>
Answer with explanation:</h2>
We are asked to prove by the method of mathematical induction that:

where n is a positive integer.
then we have:

Hence, the result is true for n=1.
- Let us assume that the result is true for n=k
i.e.

- Now, we have to prove the result for n=k+1
i.e.
<u>To prove:</u> 
Let us take n=k+1
Hence, we have:

( Since, the result was true for n=k )
Hence, we have:

Also, we know that:

(
Since, for n=k+1 being a positive integer we have:
)
Hence, we have finally,

Hence, the result holds true for n=k+1
Hence, we may infer that the result is true for all n belonging to positive integer.
i.e.
where n is a positive integer.
Answer:
(6-2)/4
Step-by-step explanation:
Make sure you have the parenthesis
The y-coordinates are the same, so the length of this horizontal line segment is the difference between the x-coordinates.
Length = 7 - (-5) = 12 units