Answer:
k = 
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
note the line crosses the y-axis at - 3 ⇒ c = - 3
y = 2x - 3 ← is the equation of the line
Since (k, 10) lies on the line then the coordinates of the point make the equation true.
substitute (k, 10) into the equation and solve for k
10 = 2k - 3 ( add 3 to both sides )
13 = 2k ( divide both sides by 2 ), hence
k = 
 
        
             
        
        
        
Answer: 28 and 18
Step-by-step explanation:
I used the guess and test strategy to find that: 
28 - 10 = 18
28 + 18 = 46
 
        
             
        
        
        
Answer:
position         1             5             8                12               19             25
term              -8            8             20             36               64            88
Step-by-step explanation:
(n - 1) is position ( n ∈ N)
d is the distance between the numbers in the sequence
a1 is the first number in the sequence
we have the fuction: a(n) = a1 + (n - 1)d
see in the table, with position = 1, term = -8 => a1 + d = -8
                                     position = 25, term = 88 => a1 + 25d = 88
=> we have: a1 + d = -8
                      a1 + 25d = 88
=> a1 = -12
     d = 4
=> a(n) = -12 + 4(n - 1)
=> term = 8, position = (8 + 12)/4 = 5
     position = 8, term = -12 + 4.8 = 20
     term = 36, position = (36 + 12)/4 = 12
     position = 19, term = -12 + 4.19 = 64
 
        
                    
             
        
        
        
Answer:
Sorry, don’t know that one ♀️
Step-by-step explanation: