Respuesta :

wegnerkolmp2741o

solve for y by subtracting x from each side

4y = -x + 12

now divide  each side by 4

y = -1/4 x +3

this is the slope intercept form of the equation

the slope is -1/4 and the y intercept is 3

gmany

The slope-intercept form:

[tex]y=mx+b[/tex]

We have x + 4y = 12:

[tex]x+4y=12\qquad|\text{subtract x from both sides}\\\\4y=-x+12\qquad|\text{divide both sides by 4}\\\\\boxed{y=\dfrac{-x+12}{3}=-\dfrac{1}{4}x+3}[/tex]

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