Answer:
The first one
Step-by-step explanation:
Answer:
--- Slope intercept
--- Standard form
Step-by-step explanation:
Given
The attached linear graph
Required
The equation
Select any two points on the line
![(x_1,y_1) = (0,-3)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%20%3D%20%280%2C-3%29)
![(x_2,y_2) = (4,0)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29%20%3D%20%284%2C0%29)
Next, 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)
So, we have:
![m = \frac{0 --3}{4 - 0}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B0%20--3%7D%7B4%20-%200%7D)
![m = \frac{3}{4}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B3%7D%7B4%7D)
The slope intercept is then calculated using:
![y = m(x - x_1) + y_1](https://tex.z-dn.net/?f=y%20%3D%20m%28x%20-%20x_1%29%20%2B%20y_1)
So, we have:
![y = \frac{3}{4}(x - 0) -3](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B3%7D%7B4%7D%28x%20-%200%29%20-3)
![y = \frac{3}{4}(x) -3](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B3%7D%7B4%7D%28x%29%20-3)
![y = \frac{3}{4}x -3](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B3%7D%7B4%7Dx%20-3)
Multiply through bu 4
![4y = 3x - 12](https://tex.z-dn.net/?f=4y%20%3D%203x%20-%2012)
Subtract 3x from both sides
--- Standard form
Answer:
w = 1.28.
Step-by-step explanation:
To find 'w', simply divide the answer by the coefficient.
![3.84/3=1.28](https://tex.z-dn.net/?f=3.84%2F3%3D1.28)
![w=1.28](https://tex.z-dn.net/?f=w%3D1.28)
REMEMBER: ANYTIME YOU SEE A COEFFICIENT AND A VARIABLE, YOU MUST MULTIPLY THE COEFFICIENT AND THE VARIABLE.
We can check our answer by multiplying.
.
Therefore, w = 1.28.