Are there always the same number of prime numbers between 2 consecutive multiples of 10? Explain.
2 answers:
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Hello LovingAngel!
To find the slope, you can use the formulas
as well as 
. I am using the latter to calculate and ensuring my answer with the former.
[Note: (x,y) is the format for ordered pairs]
First pair: value 1:(1,5) and value 2:(2,8)
-> 
-> 
or 3.
The slope for (1,5) and (2,8) is 3(/1).
Second pair: value 1: (3,1) value 2 (3,-1)
-> 
-> 
Slope for the second pair is -2/0
Checking work with
1. Slope: 3/1, meaning rise (y) +3 and run (x) +1. (1,5) -> (1+1,5 + 3) -> (2,8) ✔
2. Slope: -2/0, meaning rise (y) -2/drop (y) 2 and run 0. (3,1) -> (3 + 0, 1 + -2) -> (3,-1) <span>✔</span>
To find the slope, you can use the formulas
[Note: (x,y) is the format for ordered pairs]
First pair: value 1:(1,5) and value 2:(2,8)
The slope for (1,5) and (2,8) is 3(/1).
Second pair: value 1: (3,1) value 2 (3,-1)
Slope for the second pair is -2/0
Checking work with
1. Slope: 3/1, meaning rise (y) +3 and run (x) +1. (1,5) -> (1+1,5 + 3) -> (2,8) ✔
2. Slope: -2/0, meaning rise (y) -2/drop (y) 2 and run 0. (3,1) -> (3 + 0, 1 + -2) -> (3,-1) <span>✔</span>