The formula of a slope:
![m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
We have the points (1, k) and (-1, -4) and the slope m = 3/2. Substitute:
![\dfrac{-4-k}{-1-1}=\dfrac{3}{2}\\\\\dfrac{-4-k}{-2}=\dfrac{3}{2}\qquad\text{multiply both sides by (-2)}\\\\-4-k=-3\qquad\text{add 4 to both sides}\\\\-k=1\qquad\text{change the signs}\\\\\boxed{k=-1}](https://tex.z-dn.net/?f=%5Cdfrac%7B-4-k%7D%7B-1-1%7D%3D%5Cdfrac%7B3%7D%7B2%7D%5C%5C%5C%5C%5Cdfrac%7B-4-k%7D%7B-2%7D%3D%5Cdfrac%7B3%7D%7B2%7D%5Cqquad%5Ctext%7Bmultiply%20both%20sides%20by%20%28-2%29%7D%5C%5C%5C%5C-4-k%3D-3%5Cqquad%5Ctext%7Badd%204%20to%20both%20sides%7D%5C%5C%5C%5C-k%3D1%5Cqquad%5Ctext%7Bchange%20the%20signs%7D%5C%5C%5C%5C%5Cboxed%7Bk%3D-1%7D)
Answer:
$7.43
Step-by-step explanation:
First, solve for what each of the 5 friends are paying:
130/5 = 26
Then, solve for what each person is paying with the addition of 2 people:
130/7 = 18.57
Last, subtract to find the answer:
26-18.57 = 7.43
4848 inches is how long the bike will be