Answer:
Part 1) The rate of change is 
Part 2) The initial value is 
Step-by-step explanation:
we know that
The linear equation in slope intercept form is equal to

where
m is the slope or rate of change
b is the y-intercept or initial value
step 1
Find the slope or rate of change
The formula to calculate the slope between two points is equal to

we have the points
(5,12)and (2,6)
substitute the values in the formula



therefore
The rate of change is 
step 2
Find the initial value
we have


substitute in the equation 

solve for b

---> initial value
The linear equation is equal to

The y-intercept or initial value is 2
Answer:
7/3
Step-by-step explanation:
We can find the slope of a line given two points by
m = (y2-y1)/ (x2-x1)
= (3--4)/(4-1)
= (3+4)/(4-1)
7/3
Step-by-step explanation:
I haven't used distance formula or Pythagoras theorem, not sure why that's given at the bottom of your question. check the image. that is how I solved it
Answer:
158.1
Step-by-step explanation:
Distance is the square root of (x1-x2)^2+(y1-y2)^2
square root of (-4-146)^2+(2-52)^2
square root of 150^2+50^2
square root of 22500+2500
square root of 25000
50sqrt10
Rounding is 158.1