Respuesta :
The equation in standard form is x + 2y = 8
Solution:
Given that we have to write the given equation in standard form
The equation given is:
[tex]y = \frac{-1}{2}x + 4[/tex]
The standard form of an equation is Ax + By = C
In this kind of equation, x and y are variables and A, B, and C are integers. When we shift the variable terms to the left side of the equation and everything else to the right side, we get the standard form.
[tex]y = \frac{-1}{2}x + 4\\\\y = \frac{-x}{2} + 4\\\\y =\frac{-x + 8}{2}\\\\2y = -x + 8[/tex]
Keep the variables on one side and constant term on other side
x + 2y = 8
Thus the above equation is in standard form of Ax + By = C