Answer:
x + 4y = 4
Step-by-step explanation:
The standard form of a linear two-variable equation is Ax + By = C, where A is a constant called coefficient of variable x, B is another constant called coefficient of variable y and C is also a constant.
Now, here we have to write an equation in standard form.
The equation is [tex]y = -\frac{1}{4} x + 1[/tex]
Now, we will rearrange the equation to get the standard form.
So, [tex]y = -\frac{1}{4} x + 1[/tex]
⇒ 4y = - x + 4 {Multiplying both sides by 4}
⇒ 4y + x = 4
⇒ x + 4y = 4 (Answer)