Answer:
![y +500 = -\frac{1}{5}(x - 100)](https://tex.z-dn.net/?f=y%20%2B500%20%3D%20-%5Cfrac%7B1%7D%7B5%7D%28x%20-%20100%29)
Step-by-step explanation:
Given
The attached graph
Required
Determine the equation in point slope form
From the graph, we have the following points;
![(x_1,y_1) = (-400,-400)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%20%3D%20%28-400%2C-400%29)
![(x_2,y_2) = (100,-500)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29%20%3D%20%28100%2C-500%29)
First, we calculate the slope (m):
![m = \frac{y_2 - y_1}{x_2 - x_1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D)
![m = \frac{-500 - (-400)}{100- (-400)}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B-500%20-%20%28-400%29%7D%7B100-%20%28-400%29%7D)
![m = \frac{-500 +400}{100+400}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B-500%20%2B400%7D%7B100%2B400%7D)
![m = \frac{-100}{500}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B-100%7D%7B500%7D)
![m = -\frac{1}{5}](https://tex.z-dn.net/?f=m%20%3D%20-%5Cfrac%7B1%7D%7B5%7D)
The equation is then calculated using:
![y - y_2 = m(x - x_2)](https://tex.z-dn.net/?f=y%20-%20y_2%20%3D%20m%28x%20-%20x_2%29)
Substitute x and y values
![y - (-500) = -\frac{1}{5}(x - (100))](https://tex.z-dn.net/?f=y%20-%20%28-500%29%20%3D%20-%5Cfrac%7B1%7D%7B5%7D%28x%20-%20%28100%29%29)
![y +500 = -\frac{1}{5}(x - 100)](https://tex.z-dn.net/?f=y%20%2B500%20%3D%20-%5Cfrac%7B1%7D%7B5%7D%28x%20-%20100%29)
Answer:
Theo worked on it for 12 hours. Kade worked on it for 15 hours.
Step-by-step explanation: 12 plus 15 equals 27.
Circumference: 2 * pi * r
pi = 3.14, r = 4
2 * 3.14 * 4 = 25.12
Circumference: 25.12 cm
Area = pi * r^2
pi = 3.14, r = 4
3.14 * 4^2 = 50.24
Area: 50.24 cm^2
Answer:
35%
Step-by-step explanation:
Becasue in a dollar there are 100 pennies. 0.35 times 100 would be 35