Answer: y-2=1/4(x-1)
Step-by-step explanation:
The formula for point-slope is y-y₁=m(x-x₁). Since we are given the slope m, we can fill that in. We are also given the point (x₁,y₁). We can also fill that in.
y-2=1/4(x-1)
 
        
             
        
        
        
6 / 2 = 3
21 / 7 = 3
Yes, 2/7 and 6/21 are equivalent ratios.  The second number is simply the first number tripled.  
        
                    
             
        
        
        
<h3>
Answer:  f( h(x) ) = 2x - 4</h3>
Work Shown:
f(x) = x - 7
f( h(x) ) = h(x) - 7
f( h(x) ) = 2x+3 - 7
f( h(x) ) = 2x - 4
Explanation: 
In the second step, I replaced every x with h(x). In the next step, I replaced the h(x) on the right hand side with 2x+3. From there I combined like terms.
 
        
        
        
Answer:
2a
Step-by-step explanation:
using distance formula:
√(x₂-x₁)² + (y₂-y₁)² 
putting values, 
√{a-(a)}² + {b-b}² = √ {a+a}² + 0² 
= √(2a)² = √4a² = 2a
Hope this helps:)