The slope would be calculated as m = (y2 -y1)/(x2-x1)
So plugging in it would be m = (10- (-4))/(6-2) = 3.5
Then plugging into point slope form which is y - y1 = m(x - x1)
You would get y - 10 = 3.5(x-6) which simplifies is
Y = 3.5x -11
Answer:
k=-8.
Step-by-step explanation:
Step 1: subtract 14 from both sides from "2.25k - 20 =6.5k +14"
Step 2: Subtract 2.25k from both sides from "2.25k-34=6.5k
Step 3: Divide both sides by 4.25 from -34=4.25x
Your answer is k= -8.
It says -8=k.
Is that it, is there more to the question? This is just a statement.
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Hello, please consider the following.
![\displaystyle 1+2+3+...+12=\sum_{k=1}^{k=12} {k}=\dfrac{12*13}{2}=6*13=78](https://tex.z-dn.net/?f=%5Cdisplaystyle%201%2B2%2B3%2B...%2B12%3D%5Csum_%7Bk%3D1%7D%5E%7Bk%3D12%7D%20%7Bk%7D%3D%5Cdfrac%7B12%2A13%7D%7B2%7D%3D6%2A13%3D78)
For the second we will need to put on the same denominator.
![\displaystyle \dfrac{1}{2}+\dfrac{1}{4}+...+\dfrac{1}{14}=\sum_{k=1}^{k=7} {\dfrac{1}{2k}}\\\\=\dfrac{1}{2}\dfrac{420+210+140+105+84+70+60}{5*7*3*2*2}\\\\=\dfrac{1}{2}\dfrac{1089}{420}\\\\=\dfrac{1089}{840}=1.296429...](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cdfrac%7B1%7D%7B2%7D%2B%5Cdfrac%7B1%7D%7B4%7D%2B...%2B%5Cdfrac%7B1%7D%7B14%7D%3D%5Csum_%7Bk%3D1%7D%5E%7Bk%3D7%7D%20%7B%5Cdfrac%7B1%7D%7B2k%7D%7D%5C%5C%5C%5C%3D%5Cdfrac%7B1%7D%7B2%7D%5Cdfrac%7B420%2B210%2B140%2B105%2B84%2B70%2B60%7D%7B5%2A7%2A3%2A2%2A2%7D%5C%5C%5C%5C%3D%5Cdfrac%7B1%7D%7B2%7D%5Cdfrac%7B1089%7D%7B420%7D%5C%5C%5C%5C%3D%5Cdfrac%7B1089%7D%7B840%7D%3D1.296429...)
Thank you.