Answer:
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Answer:

Step-by-step explanation:
Simply use the fact that the change in x squared + the change in y squared = the distance squared. (The Pythagorean Theorem)
1^2 + 4^2 = d^2
1 + 16 = d^2
17 = d^2
d = √17
Hope it helps :)
Answer:
y =
x + 3
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 )
y =
x + 4 ← is in slope- intercept form
with slope m = 
Parallel lines have equal slopes , then
y =
x + c ← is the partial equation
To find c substitute (6, 5) into the partial equation
5 = 2 + c ⇒ c = 5 - 2 = 3
y =
x + 3 ← equation of parallel line
Answer:
C - The relationship represents a function because each input gives one unique output.
Step-by-step explanation:
To see if it is a function we can do the line test where we have a vertical line and "drag" it along the line. As long as it only hits the line once in every situation it is a function! We can see this passes and therefore the answer is c.
(why is it not d? you can have a non-linear line, but still have a function)