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2x + 4y = 12 converted into slope intercept form (y=mx+b)??

User Whiteagle
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2 Answers

4 votes
y=-1/2x+3
First you subtract the 2x so it becomes 4y=-2x+12
Then divide everything by 4 because y can't have a constant
so the final answer is y=-1/2x+3



User Antonpp
by
8.2k points
6 votes

To convert 2x + 4y = 12 into slope-intercept form, we must put it into y = mx + b form, where m represents the slope of the line and b is the y intercept of the equation. To begin, we should subtract 2x from both sides so that we can get the variable y alone on the left side of the equation.

2x + 4y = 12

4y = -2x + 12

Next, because there cannot be a coefficient on the variable y in this form, we must divide both sides of the equation by 4.

y = -2/4x + 3

Because 2 and 4 are both divisible by 2, we can divide both the numerator and the denominator by 2 to further simplify the equation.

y = -1/2x + 3

Therefore, the answer is y = -1/2x + 3.

Hope this helps!

User Doomenik
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