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

1 Answer

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Answer:

y=-1/4x+3

Explanation:

To get to slope intercept form (y=mx+b), you have to isolate y. First, you subtract x from both sides to get 4y=-x+12. You then have to divide both sides by 4 to finish isolating y. There is an implied 1 in front of x, so you divide 1 by 4 to get the slope (1/4). You also divide 12 by 4 to get 3. Ultimately (and don't forget the negative sign in front of the slope, from subtracting x earlier), you end up with y=-1/4x+3. Hope this helped!

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