Verified Answer :

the slope intercept form is in the form y=mx+b

change the original to reflect that form.

x+4y=12  subtract x from both sides

4y=-x+12  divide by 4 on both sides

y=-1/4x+3


Answer:

\(y=-\frac{1}{4}x+3\)

Step-by-step explanation:

We are given that a linear equation

\(x+4y=12\)

We have to find ten slope intercept form of the given linear equation.

We know that slope- intercept form

\(y=mx+C\)

\(4y=-x+12\)

By using subtraction property of equality

\(y=\frac{1}{4}(-x+12)\)

By using division property of equality

\(y=-\frac{1}{4}x+3\)

Hence, the slope - intercept form of the given equation is given by

\(y=-\frac{1}{4}x+3\)