Answer:
The x-intercept is ![(4,0)](https://tex.z-dn.net/?f=%284%2C0%29)
The y-intercept is ![(0,-3)](https://tex.z-dn.net/?f=%280%2C-3%29)
Step-by-step explanation:
Suppose you have a function f:
![f = f(x,y) = 0](https://tex.z-dn.net/?f=f%20%3D%20f%28x%2Cy%29%20%3D%200)
The x-intercept is the value of x when
.
The x-intercept is the value of y when
.
Solution
We have:
![f(x,y) = -3x + 4y = -12](https://tex.z-dn.net/?f=f%28x%2Cy%29%20%3D%20-3x%20%2B%204y%20%3D%20-12)
![-3x + 4y + 12 = 0](https://tex.z-dn.net/?f=-3x%20%2B%204y%20%2B%2012%20%3D%200)
x-intercept
The x-intercept is the value of x when
. So:
![-3x + 4(0) + 12 = 0](https://tex.z-dn.net/?f=-3x%20%2B%204%280%29%20%2B%2012%20%3D%200)
*(-1)
![3x - 12 = 0](https://tex.z-dn.net/?f=3x%20-%2012%20%3D%200)
![3x = 12](https://tex.z-dn.net/?f=3x%20%3D%2012)
![x = \frac{12}{3}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B12%7D%7B3%7D)
![x = 4](https://tex.z-dn.net/?f=x%20%3D%204)
The x-intercept is ![(4,0)](https://tex.z-dn.net/?f=%284%2C0%29)
y-intercept
The y-intercept is the value of y when
. So:
![-3(0) + 4y + 12 = 0](https://tex.z-dn.net/?f=-3%280%29%20%2B%204y%20%2B%2012%20%3D%200)
![4y + 12 = 0](https://tex.z-dn.net/?f=4y%20%2B%2012%20%3D%200)
![4y = -12](https://tex.z-dn.net/?f=4y%20%3D%20-12)
![y = \frac{-12}{4}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B-12%7D%7B4%7D)
![y = -3](https://tex.z-dn.net/?f=y%20%3D%20-3)
The y-intercept is ![(0,-3)](https://tex.z-dn.net/?f=%280%2C-3%29)
Answer:
Slope intercept form is y=mx+b
So y=-1/2x(m=slope which you go down one over 2 from your y-intercept)
y=-1/2x ( There would be no b because your b is 0, that's where it crosses the y axis)
Step-by-step explanation:
X = 1/3 yz
3x = yz
y = 3x/z
Answer:
14.7 miles per gallon
Step-by-step explanation:
All you have to do is divide the number of miles by the number of gallons to find out how many miles are driven per gallon of gas. Hope I helped!