7/12*6/14
  7*6=42
  12*14=168
=42/168
=0.25 =1/4
        
             
        
        
        
We will have the following:
*First: We determine the translation rule:
We have that the point went from (3, -4) to (0, -5), thus the translation rule would be:

Second: We apply the translation rule to the other point to determine it's image, that is:

So, the image of the second point is (5, 6).
 
        
             
        
        
        
Answer:
Step-by-step explanation:
The rate of change, slope, m is
m=(y2-y1)/(x2-x1), we have points (4,5) and (21,39) so
m=(39-5)/(21-4)
m=34/17
m=2
So the rate of change is 2
 
        
             
        
        
        
Answer:
60
Step-by-step explanation:
17-20=3. 60times3 equals 180. So 60
 
        
             
        
        
        
Answer:
y=-2x+7
Step-by-step explanation:
Hi there!
The form of slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept
We are given the slope (-2) and a point (3,1)
We can immediately substitute -2 as the slope in the equation
y=-2x+b
Now we need to find b
Because the line will pass through the point (3,1), we can use it to solve for b
Substitute 3 as x and 1 as y
1=-2(3)+b
multiply 
1=-6+b
add 6 to both sides to isolate b
7=b
Substitute 7 as b into the equation
The line is <u>y=-2x+7</u>
Hope this helps!