Answer:
The equation of the line that goes through points (1,1) and (3,7) is 
Step-by-step explanation:
Determine the equation of the line that goes through points (1,1) and (3,7)
We can write the equation of line in slope-intercept form  where m is slope and b is y-intercept.
 where m is slope and b is y-intercept.
We need to find slope and y-intercept.
Finding Slope
Slope can be found using formula: 
We have 
Putting values and finding slope

We get Slope = 3
Finding y-intercept
y-intercept can be found using point (1,1) and slope m = 3

We get y-intercept b = -2
So, equation of line having slope m=3 and y-intercept b = -2 is:

The equation of the line that goes through points (1,1) and (3,7) is 
 
        
             
        
        
        
Answer:
The capacity of the mug =  cups
 cups
Step-by-step explanation:
Given - A mug is 1/8 full. The mug contains 1/6 of a cup of water. 
To find - Find the capacity of the mug. Write the answer as a fraction or mixed number
Proof -
Let the capacity of water = x
Given that,
A mug is  full of water
 full of water
⇒Total cups of water in the mug = 
Now,
Given that, The mug contains  of a cup of water.
 of a cup of water. 
∴ we get
  =
 =   
 
⇒x =  × 8
 × 8
      =  
 
      =  =
 = 
⇒x = 
∴ we get
The capacity of the mug =  cups
 cups
 
        
             
        
        
        
Hello from MrBillDoesMath!
Answer:
-18
Discussion:
I immediately noticed that  9/16 times -2 is the next term (-9/8) and  -9/8 times -2 is, again, the next term (9/4). Continuing like this gives
(9/4) * (-2) = - 9/2
(-9/2)*(-2)  = 9
9 * (-2) = -18
which is the desired answer
Thank you,
MrB