Answer:
<u> </u>
</u>
Step-by-step explanation:
For the standard form equation to model the values in the table, each value of x in the table should give the matching the y value when substituted into the equation. We will test each equation:
<u> for (-2,4)</u>
 for (-2,4)</u>

This does not give 4 as the answer and is not a solution.
<u> for (-2,4)</u>
 for (-2,4)</u>

This does give 4 as the answer and is a possible solution.
<u> for (-2,4)</u>
 for (-2,4)</u>

This does not give 4 as the answer and is not a solution.
<u> for (-2,4)</u>
 for (-2,4)</u>

This does not give 4 as the answer and is not a solution.
The only possible solution is <u> </u>
</u>
 
        
             
        
        
        
Answer:
a 1 over 25
Step-by-step explanation:
Problem Statement: 
      What is the value of   ?
 ? 
To solve this problem, we must familiarize ourselves with the concept of exponents and rules that guides them. 
Exponents are used by scientists to report higher orders of a number. 
Such large and often recurring expression is usually made up of a base and an exponent value. 
The exponent value is the power of the base;   for example, 4³ has 4 as its base and 3 as the exponent. 
Several rules guides solving an exponent, to this problem, the most applicable one is : 
                              =
  =  
                             =
   =   
  
                                  = 
                                  =  
                                  
Therefore the solution is 1 over 25
 
        
             
        
        
        
Answer:
y = 2x - 1
Step-by-step explanation:
(3, 5) (5, 9)
slope = (9-5)/(5-3) = 4/2 = 2
y = mx + b
5 = 2(3) + b
-1 = b
y = 2x -1
 
        
                    
             
        
        
        
Answer:
The equation that matches the table is y = -5x + 7 ⇒ C
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
- m is the slope of the line
- b is the y-intercept (value y at x = 0)
The rule of the slope is m =   , where
 , where
- (x1, y1) and (x2, y2) are two points on the line
From the given table
→ Choose any two points from the table
∵ Points (0, 7) and (1, 2) are in the table
∴ x1 = 0 and y1 = 7
∴ x2 = 1 and y2 = 2
→ Substitute them in the rule of the slope above
∵ m = 
∴ m = -5
→ Substitute it in the form of the equation above
∵ y = -5x + b
∵ b is the value of y at x = 0
∵ At x = 0, y = 7
∴ b = 7
∴ y = -5x + 7
∴ The equation that matches the table is y = -5x + 7