Respuesta :

leeandrews2

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


lublana

Answer:

[tex]y=-\frac{1}{4}x+3[/tex]

Step-by-step explanation:

We are given that a linear equation

[tex]x+4y=12[/tex]

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

We know that slope- intercept form

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

[tex]4y=-x+12[/tex]

By using subtraction property of equality

[tex]y=\frac{1}{4}(-x+12)[/tex]

By using division property of equality

[tex]y=-\frac{1}{4}x+3[/tex]

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

[tex]y=-\frac{1}{4}x+3[/tex]

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