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konstantin123 [22]
3 years ago
12

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

Mathematics
1 answer:
rosijanka [135]3 years ago
5 0

Answer:

y=-1/4x+3

Step-by-step 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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Rewrite EQ. 1 as EQ. 3: x = 8-y

Replace x in EQ.2 with EQ. 3:

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Use the distributive property:

32 - 4y - y = 7

Combine like terms:

32 - 5y = 7

Subtract 32 from each side:

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Divide both sides by -5

y = -25 / -5

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Now replace y with 5 in EQ. 3 to solve for X:


x = 8-5

x = 3


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