Answer:
The solution to the inequality is:
![x](https://tex.z-dn.net/?f=x%3C5)
The number line solution graph is also attached below.
Step-by-step explanation:
Given the inequality
![2(x-3)-8< -4](https://tex.z-dn.net/?f=2%28x-3%29-8%3C%20-4)
Add 8 to both sides
![2\left(x-3\right)-8+8](https://tex.z-dn.net/?f=2%5Cleft%28x-3%5Cright%29-8%2B8%3C-4%2B8)
![2\left(x-3\right)](https://tex.z-dn.net/?f=2%5Cleft%28x-3%5Cright%29%3C4)
Divide both sides by 2
![\frac{2\left(x-3\right)}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2%5Cleft%28x-3%5Cright%29%7D%7B2%7D%3C%5Cfrac%7B4%7D%7B2%7D)
![x-3](https://tex.z-dn.net/?f=x-3%3C2)
Add 3 to both sides
![x-3+3](https://tex.z-dn.net/?f=x-3%2B3%3C2%2B3)
![x](https://tex.z-dn.net/?f=x%3C5)
Thus, the solution to the inequality is:
![x](https://tex.z-dn.net/?f=x%3C5)
The number line solution graph is also attached below.
The equation of the line is y = (1/2)x + 2
Answer:
y+20 = 9(x+2)
Step-by-step explanation:
The slope that passes through the points is
m = (y2-y1)/(x2-x1)
= (79- -20)/ (9--2)
= (79+20)/(9+2)
= 99/11
= 9
We can use point slope form to write an equation. It says to use the first point.
y-y1 = m(x-x1)
y--20 = 9(x--2)
y+20 = 9(x+2)
Ok I took it in steps the answer that is 100% more certain is 1/8. The fraction is 1/8 that they take home.