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IRINA_888 [86]
3 years ago
9

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

Mathematics
2 answers:
Nat2105 [25]3 years ago
7 0

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

Ivahew [28]3 years ago
6 0

The slope-intercept form:

y=mx+b

We have x + 4y = 12:

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}

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