Question

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

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Answer 1

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 2

`y=-(1)/(4)x+3`

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=(1)/(4)(-x+12)`

By using division property of equality

`y=-(1)/(4)x+3`

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

`y=-(1)/(4)x+3`