Answer:
3
Step-by-step explanation:
Answer:
The x-intercept is ![x = -4](https://tex.z-dn.net/?f=x%20%3D%20-4)
The y-intercept is ![y = 2](https://tex.z-dn.net/?f=y%20%3D%202)
Step-by-step explanation:
A first order function has the following format:
![y = ax + b](https://tex.z-dn.net/?f=y%20%3D%20ax%20%2B%20b)
In which a is the slope and b is the y-intercept, that is, the value of y when x = 0. The x-intercept is the value of x when y = 0.
We have the following equation:
![4(x - y) + 3 = 2x - 5](https://tex.z-dn.net/?f=4%28x%20-%20y%29%20%2B%203%20%3D%202x%20-%205)
![4x - 4y + 3 = 2x - 5](https://tex.z-dn.net/?f=4x%20-%204y%20%2B%203%20%3D%202x%20-%205)
![-4y = 2x - 5 - 4x - 3](https://tex.z-dn.net/?f=-4y%20%3D%202x%20-%205%20-%204x%20-%203)
![-4y = -2x - 8](https://tex.z-dn.net/?f=-4y%20%3D%20-2x%20-%208)
Multiplying by -1.
![4y = 2x + 8](https://tex.z-dn.net/?f=4y%20%3D%202x%20%2B%208)
![y = \frac{2x + 8}{4}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B2x%20%2B%208%7D%7B4%7D)
![y = 0.5x + 2](https://tex.z-dn.net/?f=y%20%3D%200.5x%20%2B%202)
x-intercept
Value of x when y = 0.
![y = 0.5x + 2](https://tex.z-dn.net/?f=y%20%3D%200.5x%20%2B%202)
![0.5x + 2 = 0](https://tex.z-dn.net/?f=0.5x%20%2B%202%20%3D%200)
![0.5x = -2](https://tex.z-dn.net/?f=0.5x%20%3D%20-2)
![x = -\frac{2}{0.5}](https://tex.z-dn.net/?f=x%20%3D%20-%5Cfrac%7B2%7D%7B0.5%7D)
![x = -4](https://tex.z-dn.net/?f=x%20%3D%20-4)
The x-intercept is ![x = -4](https://tex.z-dn.net/?f=x%20%3D%20-4)
y-intercept
Value of y when x = 0.
![y = 0.5x + 2](https://tex.z-dn.net/?f=y%20%3D%200.5x%20%2B%202)
![y = 0.5(0) + 2](https://tex.z-dn.net/?f=y%20%3D%200.5%280%29%20%2B%202)
![y = 2](https://tex.z-dn.net/?f=y%20%3D%202)
The y-intercept is ![y = 2](https://tex.z-dn.net/?f=y%20%3D%202)
580/2=290
the airplane flies 290 per half hour.