Answer:
y-intercept of the equation
is ![(0, 4)](https://tex.z-dn.net/?f=%280%2C%204%29)
y-intercept of the equation
is ![(0,-\frac{2}{3})](https://tex.z-dn.net/?f=%280%2C-%5Cfrac%7B2%7D%7B3%7D%29)
Step-by-step explanation:
Given:
The given equation are.
------------(1)
--------------(2)
We need to find the Y-intercept of given equations.
Solution:
Now we use the standard form of the line equation.
![y = mx+c](https://tex.z-dn.net/?f=y%20%3D%20mx%2Bc)
Where:
m = slope of the line
c = y-intercept of the line
First equation:
First we convert the equation 1 in standard form.
![y=-2x+4](https://tex.z-dn.net/?f=y%3D-2x%2B4)
So, y-intercept of the equation is (0, 4)
Second equation:
Convert second equation in standard form.
![-3x+9y=-6](https://tex.z-dn.net/?f=-3x%2B9y%3D-6)
![9y=3x-6](https://tex.z-dn.net/?f=9y%3D3x-6)
Divided by 9 both side of the equation.
![y=\frac{3}{9}x-\frac{6}{9}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B3%7D%7B9%7Dx-%5Cfrac%7B6%7D%7B9%7D)
![y = \frac{1}{3}x-\frac{2}{3}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B1%7D%7B3%7Dx-%5Cfrac%7B2%7D%7B3%7D)
So, y-intercept of the equation is ![(0,-\frac{2}{3})](https://tex.z-dn.net/?f=%280%2C-%5Cfrac%7B2%7D%7B3%7D%29)
Therefore, y-intercept of the equation
is ![(0, 4)](https://tex.z-dn.net/?f=%280%2C%204%29)
y-intercept of the equation
is ![(0,-\frac{2}{3})](https://tex.z-dn.net/?f=%280%2C-%5Cfrac%7B2%7D%7B3%7D%29)