Question

What is the slope-intercept form of the linear equation x + 4y = 12?

Answer 1

we know that

The equation of the line in the slope-intercept form is equal to

$y=mx+b$

we have

$x+4y=12$

Solve for y

$x+4y=12$

Subtract $x$ both sides

$x+4y-x=12-x$

$4y=12-x$

Divide by $4$ both sides

$4y/4=(12-x)/4$

$y=(12-x)/4$

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

therefore

the answer is

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

Answer 2

X+4y=12 this is standard form 
slope intercept from is y=mx+b 
so first subtract x 
4y=12-x then divide by 4 
y= -x+ 3 <--- that's your answer