Answer:
![-3x+4y=12\\y-intercept: (0,3)\\x-intercept: (-4,0)](https://tex.z-dn.net/?f=-3x%2B4y%3D12%5C%5Cy-intercept%3A%20%280%2C3%29%5C%5Cx-intercept%3A%20%28-4%2C0%29)
Step-by-step explanation:
The standard form of a linear equation is
, where
,
, and
are constants in the equation.
Based on the equation you have provided, the standard form would be
, where
.
To find the y-intercept, set
.
![-3(0)+4y=12\\0+4y=12\\4y=12\\y=\frac{12}{4} =3](https://tex.z-dn.net/?f=-3%280%29%2B4y%3D12%5C%5C0%2B4y%3D12%5C%5C4y%3D12%5C%5Cy%3D%5Cfrac%7B12%7D%7B4%7D%20%3D3)
Therefore, the y-intercept is
.
Do the same thing for the x-intercept, but this time with
.
![-3x+4(0)=12\\-3x+0=12\\-3x=12\\x=\frac{12}{-3} =-4](https://tex.z-dn.net/?f=-3x%2B4%280%29%3D12%5C%5C-3x%2B0%3D12%5C%5C-3x%3D12%5C%5Cx%3D%5Cfrac%7B12%7D%7B-3%7D%20%3D-4)
Therefore, the x-intercept is
.