K is the slope of the line formed by connecting the points.
Use slope formula:

where the 2 points are the end points of the line (First and last going Left to right)

Substitute into slope formula

You can check if this is correct by going back to graph and going "up 7" and "over 2" to get from one point to the next.
Answer:
9.219544457292887
Step-by-step explanation:
Use distance formula
√(−5−2)^2+(−3−3)^2
√(−7)^2+(−6)^2
√49+36
√85
√≈9.219544457292887
Hoped this helped!
: )
Answer:
Step-by-step explanation:
![a+b =1\dfrac{3}{5} + (-2)\\\\=\dfrac{8}{5}-\dfrac{2*5}{1*5}\\\\=\dfrac{8-10}{5}\\\\\\=\dfrac{-2}{5}\\\\\\2-c = 2-[-7] = 2+7 = 9\\\\\\dfrac{- I a + b I}{2-c}=\dfrac{\dfrac{-2}{5}}{9}\\\\=\dfrac{-2}{5}*\dfrac{1}{9}\\\\=\dfrac{-2}{45}\\\\](https://tex.z-dn.net/?f=a%2Bb%20%3D1%5Cdfrac%7B3%7D%7B5%7D%20%2B%20%28-2%29%5C%5C%5C%5C%3D%5Cdfrac%7B8%7D%7B5%7D-%5Cdfrac%7B2%2A5%7D%7B1%2A5%7D%5C%5C%5C%5C%3D%5Cdfrac%7B8-10%7D%7B5%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B-2%7D%7B5%7D%5C%5C%5C%5C%5C%5C2-c%20%3D%202-%5B-7%5D%20%3D%202%2B7%20%3D%209%5C%5C%5C%5C%5C%5Cdfrac%7B-%20I%20a%20%2B%20b%20I%7D%7B2-c%7D%3D%5Cdfrac%7B%5Cdfrac%7B-2%7D%7B5%7D%7D%7B9%7D%5C%5C%5C%5C%3D%5Cdfrac%7B-2%7D%7B5%7D%2A%5Cdfrac%7B1%7D%7B9%7D%5C%5C%5C%5C%3D%5Cdfrac%7B-2%7D%7B45%7D%5C%5C%5C%5C)
Answer:
x/8
Step-by-step explanation:
First, we are given "the quotient of...". This means that we are dividing something/something else. If two numbers are given in the phrase "something and something else", the first number given will be the something, and the second number will be the something else.
The first number listed is x. Therefore, we have
x/something else.
Next, we are given "and 8", so we have x/8 as our expression