So for 4, first thing you need is slope. Choose 2 points. I am choosing (8,2) and (6,3) So, then its the second y term subtracted by the first y term over(Or divided by) the second x term subtracted by the first x term.
3-2/6-8 or 1/-2 or -.5 (negative 0.5)
Now, time to find the yintercept(yint). So, choose one of the points, Im choosing (8,2), and put it into slope intercept, but leave yint as b.
(2)=-.5(8)+b
simplify
2= -4+b
subtract -4
b=6
So, your answer is y= -0.5x+6
I will right number 6 in anoher answer
g(x) = (1/4)x^2 . correct option C) .
<u>Step-by-step explanation:</u>
Here we have ,
and we need to find g(x) from the graph . Let's find out:
We have ,
. From the graph we can see that g(x) is passing through point (2,1 ) . Let's substitute this point in all of the four options !
A . g(x) = (1/4x)^2
Putting (2,1) in equation g(x) = (x/4)^2 , we get :
⇒ 
⇒ 
Hence , wrong equation !
B . g(x) = 4x^2
Putting (2,1) in equation g(x) = 4x^2 , we get :
⇒ 
⇒ 
Hence , wrong equation !
C . g(x) = (1/4)x^2
Putting (2,1) in equation g(x) = (1/4)x^2 , we get :
⇒ 
⇒ 
Hence , right equation !
D . g(x) = (1/2)x^2
Putting (2,1) in equation g(x) = (1/2)x^2 , we get :
⇒ 
⇒ 
Hence , wrong equation !
Therefore , g(x) = (1/4)x^2 . correct option C) .
Answer:
Step-by-step explanation:

Answer:
x= 1.069Y
Step-by-step explanation:
kilometers = y
miles = x
y>x
5x = 8.045y
therefore,
8.045 divided by 5 to get value of X
hence,
X = <u>1.069Y</u>
The slope is 1 and there is no y intercept.